Consider the free rotational motion of an axially symmetric rigid body with I a

=2I t

, where I a

is the axial moment of inertia and I t

is the transverse moment of inertia. (a) What is the largest possible value of the angle between ω and H ? Hint: Consider the angular momentum magnitude ∣H∣ fixed and vary the kinetic energy T. (b) Find the critical value of kinetic energy that results in the largest angle between ω and H.

Answers

Answer 1

(a) The free rotational motion of an axially symmetric rigid body with Ia = 2It, where Ia is the axial moment of inertia and It is the transverse moment of inertia. We are to find the largest possible value of the angle between ω and H. The hint is that we should consider the angular momentum magnitude ∣H∣ fixed and vary the kinetic energy T.

The angular momentum H is given by:H = IωsinθWhere I = It + Ia, ω is the angular velocity, and θ is the angle between the vectors H and ω. So the angular momentum magnitude ∣H∣ is given by:|H| = IωsinθBut we are to consider ∣H∣ to be fixed. So Iωsinθ is constant. Therefore, the product Iω should be constant as well. Thus, we have:Iω = constantThis is known as the conservation of angular momentum.

The kinetic energy T is given by:T = (1/2)Iaω² + (1/2)Itω²= (1/2)(Ia + It)ω²= (3/4)Itω²(Using Ia = 2It)The kinetic energy T is proportional to ω². So as T varies, ω varies as well. However, Iω is constant. As T increases, ω increases, and as T decreases, ω decreases. Since ∣H∣ = Iωsinθ is constant, the angle θ between ω and H varies with T. So we have sinθ varying with T. The angle θ will be largest when sinθ is largest.

Thus, sinθ should be maximized. The largest value that sinθ can take is 1. So θ is maximized when sinθ = 1 or θ = 90°. Therefore, the largest possible value of the angle between ω and H is 90°. The angular momentum vector H and the angular velocity vector ω are perpendicular to each other.

(b) We are to find the critical value of kinetic energy that results in the largest angle between ω and H. We know that the kinetic energy T is given by:T = (3/4)Itω² (Using Ia = 2It)Now, we are to find the maximum value of T. We know that T is proportional to ω². Thus, we can find the maximum value of T by maximizing ω². But Iω is constant. So we have:Iω = constant=> ω = constant/IThe kinetic energy T is given by:T = (3/4)Itω²= (3/4)It(constant/I)²= (3/4)(It/I²)constant²= (3/4)(It/Ia)constant²(Using Ia = 2It), The critical value of kinetic energy that results in the largest angle between ω and H is (3/4)(It/Ia)constant².

To know about angular momentum visit:

https://brainly.com/question/29563080

#SPJ11


Related Questions

Write a program that read two integers and display their MOD,VID and their floating-point division in both settings x/y and y/x
e.g 5/3 and 3/5

Answers

Answer:

#!/usr/bin/env python                                                          

                                                                             

                                                                             

def calculate(x, y):                                                          

   return {                                                                  

       "MOD": x % y,                                                          

       "DIV": x/y,  # you mean div instead of “VID”, right?                  

       "floating-point division": float(x)/y,                                

   }                                                                          

                                                                             

                                                                             

def calculateInBothSettings(x, y):                                            

   return {                                                                  

       "x/y": calculate(x, y),                                                

       "y/x": calculate(y, x),                                                

   }                                                                          

                                                                             

                                                                             

if __name__ == "__main__":                                                    

   x = int(input("x: "))                                                      

   y = int(input("y: "))                                                      

   print(calculateInBothSettings(x, y))

Explanation:

I wrote a python script. Example output:

x: 2

y: 3

{'x/y': {'MOD': 2, 'DIV': 0.6666666666666666, 'floating-point division': 0.6666666666666666}, 'y/x': {'MOD': 1, 'DIV': 1.5, 'floating-point division': 1.5}}

what can be the main disadvantage of pulse amplitude modulation?​

Answers

Answer:

transmission bandwidth required is very large.

Explanation:

An automobile having a mass of 1100 kg initially moves along a level highway at 120 km/h relative to the highway. It then climbs a hill whose crest is 80 m above the level highway and parks at a rest area located there. Use a reference with kinetic and potential energy each equal to zero for the stationary highway before the hill. Let g = 9.81 m/s^2.

For the automobile, determine its change in kinetic energy and its change in potential energy, both in kJ. For the automobile, determine its change in kinetic energy, in kJ.
a. -8594
b. -663.1
c. -6.63x10^5
d. 663.1

Answers

Answer:

\(-6111.11\ \text{kJ}\)

\(863.28\ \text{kJ}\)

Explanation:

m = Mass of automobile = 1100 kg

v = Velocity of car = 120 km/h = \(\dfrac{120}{3.6}\ \text{m/s}\)

h = Height of hill = 80 m

g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)

Change in kinetic energy

\(KE=\dfrac{1}{2}m(u^2-v^2)\\\Rightarrow KE=\dfrac{1}{2}\times 1100\times (0-(\dfrac{120}{3.6})^2)\\\Rightarrow KE=-611111.11\ \text{J}\)

Change in kinetic energy is \(-6111.11\ \text{kJ}\)

Change in potential energy is given by

\(PE=mgh\\\Rightarrow PE=1100\times 9.81\times 80\\\Rightarrow PE=863280\ \text{J}\)

The change in potential energy is \(863.28\ \text{kJ}\).

Steering and suspension question

Steering and suspension question

Answers

Answer:

A

Explanation:

All cars have rear steering to a percent it is very little and hard to notice but they turn slightly.

Cars can't rely on rear steering, it's to hard to engineer the rear diff.

An AC bridge has 4 arms. In arm AB, a 120 kilo-ohm resistor and a 47 microfarads capacitor are connected in parallel while arm BC has 330 microfarads capacitor. If arm AD has a 330 kilo-ohm resistor, calculate the value of the unknown capacitor and resistor in arm CD connected in series. (AC power is supplied through A and C while the detector is connected across BD)

Answers

The unknown capacitor in arm CD must have a value of 330 microfarads, and the unknown resistor must have a value of 100 kilo-ohms.

To solve the problem, use the following formula:
Cseries = C1 x C2 / (C1 + C2)

Where C1 is the value of the capacitor in arm AB (47 microfarads) and C2 is the value of the capacitor in arm BC (330 microfarads).

Therefore, Cseries = 330 microfarads.

Also, the total resistance of arms CD is the sum of the resistance of the resistor (R) and the reciprocal of the capacitive reactance of the capacitor (1/Xc).

Using the following formula:
Rtotal = R + 1/Xc

Where Xc = 1/2πfC,

f is the frequency and C is the capacitance.

For this problem,

Xc = 1/2π(50)(330 x 10-6)

=> 100 kilo-ohm.

To learn more about Capacitor :

https://brainly.com/question/30426172

#SPJ4

Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years

Answers

Top 10 Emerging Technologies in Chemistry
Nanopesticides. The world population keeps growing. ...
Enantio selective organocatalysis. ...
Solid-state batteries. ...
Flow Chemistry. ...
Porous material for Water Harvesting. ...
Directed evolution of selective enzymes. ...
From plastics to monomers. ...

Technician A says that charging system testing requires that the battery be at least 75% charged. Technician B says that a digital multimeter can not be used to test charging system voltage. Who is right

Answers

A digital multimeter can not be used to test charging system voltage,So Technician A and Technician B is not correct.

Neither technician is entirely correct.

Technician A is partially correct in that it is generally recommended to have a battery that is at least 75% charged before testing the charging system. However, this is not an absolute requirement, and some testing can still be performed with a battery that has a lower charge.

Technician B is incorrect in stating that a digital multimeter cannot be used to test charging system voltage. In fact, a digital multimeter is one of the most commonly used tools for this purpose, and it can provide accurate readings of the voltage output from the alternator.

Therefore, the correct answer is neither A nor B.

For such more questions on digital multimeter

https://brainly.com/question/29512413

#SPJ11

The TTL 7408 integrated circuit has which of the following combinations of individual logic gates?

4* AND Gates

2* AND Gates & 2* OR Gates

6* AND Gates

6* NOT Gates

Answers

The TTL 7408 integrated circuit has 4* AND Gates.

This is option A

A TTL 7408 IC is a quad 2-input AND gate chip that is commonly utilized in digital circuits. The TTL 7408 IC contains four AND gates, each with two inputs, on a single chip. The AND gates' inputs are active-low, which means that the output will be high only when both inputs are low. When any of the AND gate's inputs are high, the output will be low.

TTL (Transistor-Transistor Logic) 7408 is an integrated circuit (IC) that contains four two-input AND gates. It is a quad two-input AND gate chip and is commonly used in digital circuits. The AND gates within the IC have active-low inputs, meaning the output will be high only when both inputs are low.

When any of the AND gate's inputs are high, the output will be low. The TTL 7408 is a 14-pin IC that is compatible with both digital and analog circuits.

So, the correct answer is A

Learn more about circuit at

https://brainly.com/question/30498558

#SPJ11

Consider the following data for 2008 in a small suburban community:

1. number of accidents: 360 fatal 10 injury 36 pdo 314
2. number of fatalities 15
3. area population: 50,000
4. registered vehicles 35,000
5. annual vmt: 12,000,000
6. average speed 30 mi/hr

compute all relevant exposure and population based accident and fatality rates for this data. compare these to national norms for the current year. (hint: use the internet to location current national norms)

Answers

Answer:

Motorcyclist Fatality and Injury Rates per Vehicle Miles Traveled, 1998-2008. 10. 9. Fatalities in School Transportation Related Crashes,. 1998-2008.

Explanation:

Ethanol blended with gasoline can be used to power a​ "flex-fueled" car. One particular blend that is gaining in popularity is​ E85, which is​ 85% ethanol and​ 15% gasoline. E85 is​ 80% cleaner burning than gasoline​ alone, and it reduces our dependency on foreign oil. But a​ flex-fueled car costs ​$ more than a conventional​ gasoline-fueled car.​ Additionally, E85 fuel gets ​% less miles per gallon than a conventional automobile. Consider a​ 100% gasoline-fueled car that averages miles per gallon. The​ E85-fueled car will average about miles per gallon. If either car will be driven miles before being traded​ in, how much will the E85 fuel have to cost​ (per gallon) to make the​ flex-fueled car as economically attractive as a conventional​ gasoline-fueled car? Gasoline costs ​$ per gallon. Work this problem without considering the time value of money.

Answers

Answer: hello your question is poorly written below is the complete question

Ethanol blended with gasoline can be used to power a flex-fueled car. One particular blend that is gaining in popularity is E85 , which is 85% ethanol and 15% gasoline. E85 is 80% cleaner burning than gasoline alone, and it reduces our dependency on foreign oil. But a flex-fueled car costs $1,000 more than a conventional gasoline-fueled car. Additionally, E85 fuel gets 10% less miles per gallon than a conventional automobile. Consider a 100% gasoline -fueled car that averages 30 miles per gallon. The E85-fueled car will average about 27 miles per gallon. If either car will be driven 81000 miles before being traded in, how much will the E85 fuel have to cost (per gallon) to make the flex-fueled car as economically attractive as a conventional gasoline-fueled car? Gasoline costs $3.89 per gallon. Work this problem without considering the time value of money

answer :

$3.17

Explanation:

Determine how much E85 fuel have to cost

Fuel needed by 100% gasoline fueled car

= 81,000 miles / 30 = 2700 gallons

Fueled needed by E85 car

= 81,000 miles / 27 = 3000 gallons

next step : use the relation below

[ (Additional cost of flex fuel car) + (flex fuel consumption * cost of flex fuel per gallon( x ) )  ]   = [ Gasoline consumption * cost of gasoline per gallon ]

= 1000 + 3000x = 2700 * 3.89

= 1000 + 3000x = 10503

∴ x = 9503 / 3000 = $3.17 per gallon

look told you i made it a meme

look told you i made it a meme

Answers

Answer:

Dam they be thinking we racist

Explanation:

Answer:

XDDDD

Explanation:

XD I LOVE THIS MEME IM SAVING THIS TO MY GALLERY XD

cubical tank 1 meter on each edge is filled with water at 20 degrees C. A cubical pure copper block 0.46 meters on each edge with an initial temperature of 100 degrees C is quickly submerged in the water, causing an amount of water equal to the volume of the smaller cube to spill from the tank. An insulated cover is placed on the tank. The tank is adiabatic. Estimate the equilibrium temperature of the system (block + water). Be sure to state all applicable assumptions.

Answers

Answer:

final temperature = 26.5°

Explanation:

Initial volume of water is 1 x 1 x 1 = 1 \(m^{3}\)

Initial temperature of water = 20° C

Density of water = 1000 kg/\(m^{3}\)

volume of copper block = 0.46 x 0.46 x 0.46 = 0.097 \(m^{3}\)

Initial temperature of copper block = 100° C

Density of copper = 8960 kg/\(m^{3}\)

Final volume of water = 1 - 0.097 = 0.903 \(m^{3}\)

Assumptions:

since tank is adiabatic, there's no heat gain or loss through the wallsthe tank is perfectly full, leaving no room for cooling airtotal heat energy within the tank will be the summation of the heat energy of the copper and the water remaining in the tank.

mass of water remaining in the tank will be density x volume = 1000 x 0.903 = 903 kg

specific heat capacity of water c = 4186 J/K-kg

heat content of water left Hw = mcT = 903 x 4186 x 20 = 75.59 Mega-joules

mass of copper will be density x volume = 8960 x 0.097 = 869.12 kg

specific heat capacity of copper is 385 J/K-kg

heat content of copper Hc = mcT = 869.12 x 385 x 100 = 33.46 Mega-joules

total heat in the system = 75.59 + 33.46 = 109.05 Mega-joules

this heat will be distributed in the entire system

heat energy of water within the system = mcT

where T is the final temperature

= 903 x 4186 x T = 3779958T

for copper, heat will be

mcT = 869.12 x 385 = 334611.2T

these component heats will sum up to the final heat of the system, i.e

3779958T + 334611.2T = 109.05 x \(10^{6}\)

4114569.2T = 109.05 x \(10^{6}\)

final temperature T = (109.05 x \(10^{6}\))/4114569.2 = 26.5°

Briefly explain thermal expansion using the potential energy–versus–interatomic spacing curve.

Answers

As the temperature of the material increases, the potential energy of the molecules increases. Thermal expansion occurs due to changes in temperature, and interatomic distances increase as potential energy increases.

What are the uses of Thermal Expansion?

Thermal expansion is used in a variety of applications such as rail buckling, engine coolant, mercury thermometers, joint expansion, and others.

It is to be noted that an application of the concept of liquid expansion in everyday life concerns liquid thermometers. As the heat rises, the mercury or alcohol in the thermometer tube moves in only one direction. As the heat decreases, the liquid moves back smoothly.

Learn more about Thermal Expansion:
https://brainly.com/question/1166774
#SPJ1

the motor effect is at its strongest when the magnetic field and the conductor are at

Answers

The motor effect is strongest when the magnetic field and conductor are perpendicular to each other. In this orientation, the Lorentz force, which is responsible for the motor effect, is at its maximum.

The motor effect, also known as the Lorentz force, is the phenomenon in which a conductor carrying current experiences a force when placed in a magnetic field. This force is perpendicular to both the direction of the current and the magnetic field. The magnitude of this force is given by the equation F = BIL, where F is the force, B is the magnetic field strength, I is the current, and L is the length of the conductor within the magnetic field.

The orientation of the magnetic field and conductor can affect the strength of the motor effect. When the magnetic field and conductor are parallel, the force experienced by the conductor is zero. This is because the force is perpendicular to both the magnetic field and the current, and in this orientation, the two are parallel. Similarly, when the magnetic field and conductor are anti-parallel, the force experienced by the conductor is also zero.

The motor effect is strongest when the magnetic field and conductor are perpendicular to each other. In this orientation, the force experienced by the conductor is at its maximum. This is because the force is perpendicular to both the magnetic field and the current, and the two are at a 90-degree angle to each other. In practical terms, this means that motors are designed with the magnetic field and conductors arranged so that they are perpendicular to each other to maximize the strength of the motor effect.

Learn more about strength here: brainly.com/question/32144819

#SPJ11

Which of the following statements about resistance is TRUE?

Resistance resists or opposes the amount of protons flowing through voltage.


Resistance allows the amount of neutrons flowing through a circuit.

Resistance resists or opposes the amount of neutrons and protons flowing through a circuit.

Resistance resists or opposes the amount of electrons flowing through a circuit.

Answers

Answer:

I think it's the no 3rd

Explanation:

hope this helps

What is the reading of this Dial Caliper?

What is the reading of this Dial Caliper?

Answers

Answer:

45

Explanation:

bdgdsfggsfg

Discuss the relation between the force exerted and pressure.

Answers

Answer:

When a force is exerted on an object it can change the object's speed, direction of movement or shape. Pressure is a measure of how much force is acting upon an area. Pressure can be found using the equation pressure = force / area. Therefore, a force acting over a smaller area will create more pressure

Explanation:

hope it will become helpful to you ☺️☺️

ur mum ur mum ur mum ur mum ur mum

a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

Answers

At 1.2mpa pressure and 50c

What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).

a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser

T2 = 46.29C - 5
T2 = 41.29C

Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg

(COP)r = 238/53
(Cop) = 4.490

Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

To learn more about pressure
https://brainly.com/question/13717268
#SPJ4

the continental margin is composed of the following zones:

Answers

The continental margin is composed of the following three zones: the continental shelf, the continental slope, and the continental rise.

The zone between the ocean floor and the continental slope is known as the continental margin. It is the underwater section of a continent that contains the continental shelf, continental slope, and continental rise.

The Continental Shelf: It is the sloping extension of the continent into the ocean. It starts at the coastline and goes all the way to the continental slope. The continental shelf's breadth is determined by how gently the continent slopes downward into the ocean.

The Continental Slope: The continental slope, as the name implies, is a steep slope that leads down to the ocean floor. The incline is between 3° and 6°. The slope of the continental slope is steeper than that of the continental shelf.

The Continental Rise: It is a gently sloping sediment-covered area that links the continental slope to the deep-ocean floor. The continental rise is a result of the accumulation of sediment that falls off the continental shelf and slope over time.

To know more about continental margin refer to:

https://brainly.com/question/27336686

#SPJ11

Hãy tính phản lực liên kết tại ngàm A, bản lề C và gói di động D biết p=400N/m
P1=100N
P2=200
P3=300
M1=100N/m
N2=200N/m

Answers

Answer:

say in English plz I don't understand

Choose two other elements from the periodic table that you predict should react to form something like table salt


Please pleassssss helppp

I give branlistttttt

Choose two other elements from the periodic table that you predict should react to form something like

Answers

sodium (Na) and chloride (Cl) make table salt if that’s what you’re asking

Consider the following two-dimensional velocity field V = (u,v)

u = 3x+c1y
v= x + c2y

Where c1 and c2 are coffients.
Required:

a. Determine all stagnation points.
b. Determine the coefficients C1, C2 such that the flow is a potential flow.
c. For the values of the coefficients calculated at point (b), determine the expression of the stream function.
d. For the values of the coefficients calculated at point (b), considering a temperature field T = 2x + 3y, determine the value of (v.v)T at the point (x,y) = (1,2)

Answers

Answer:

a) C1 = 3C2

b) C1 = 1 , C2 = -3  

c) \(w = \frac{-x^2}{2} + \frac{y^2}{2} + 3xy + C\)

d) (v.v)T = 0

Explanation:

u = 3x + C1y

v = x + C2y

A) determining all  stagnation points

At The stagnation points : u = 0, v = 0

for all  values of C1 and C2 , C1 = 3C2

B) The coefficients of C1 and C2 so that the flow is potential

C1 = 1 , C2 = -3  

C) Determine the expression of the stream function

\(w = \frac{-x^2}{2} +\frac{y^2}{2} +3xy+ C\)

D) The value of (v.v)T at the point (x,y) = (1,2)

(v.v)T = 0

Attached is the detailed solution

Consider the following two-dimensional velocity field V = (u,v) u = 3x+c1y v= x + c2yWhere c1 and c2
Consider the following two-dimensional velocity field V = (u,v) u = 3x+c1y v= x + c2yWhere c1 and c2

What part of a combination vehicle is referred to as the power unit?

Answers

First, the 'power unit' or 'tractor' in trucking refers to the head of a truck, i.e., the engine and driver's cab. The tractor is used to pull the second main part, which is the trailer, a sort of box on wheels in which the cargo is placed.

abulate stations, deflection angles, and incremental chords to lay out the curve at full stations (100 ftft). express angles in degrees to four decimal places; express first station numbers as integers; second station numbers and chord lengths should be expressed in feet to two decimal places. the pc station should be placed at the bottom of the table.

Answers

The given question is incomplete and hence, can not be solved, Still, i am adding some relevant information for your reference.

What are deflection angles?

Declination is an important concept in several fields such as surveying, photogrammetry, and the use of radar equipment. Understanding this concept is essential for predicting and modeling the motion of objects in space. In this article, you'll learn what the deflection angle is, its formula, and its application when working with radar and surveying.

In general, the deflection angle refers to the angle between the starting trajectory of a moving object and its initial direction. Additionally, the definition varies slightly in areas such as surveying, photogrammetry, and shooting. However, it focuses on the concept of measuring relative angles between paths. Light rays are refracted as they travel from one medium to another, for example, from air through a prism and back to air. Therefore, the incident beam changes direction at the air-prism interface. In addition, the exiting beam undergoes a further change in direction at the prism-air interface. The angle between the incoming and outgoing rays is the deflection angle (α) and is important for estimating the refractive index of the prism.

The given question is incomplete and hence, can not be solved, Still, i am adding some relevant information for your reference.

To know more about deflection angles, visit:

https://brainly.com/question/28043981

#SPJ4

There is a 8 bit binary counter, based on 74LS16x family.It presents on the output the next sequence periodically :32,33,...66 -> 85,86,....130 ->173,174,...199 -> 32,33,..
1. Design the block- diagram of the network! 2. Specify the input and output signals of the blocks of the block-diagram, and the tasks of the boxes (what happens between the input and output signals of the block)! 3. Design the logical network of the boxes (you have to apply the signal-names of the block-diagram! You may apply any MSI circuits, which we studied (4 bit parallel adder, 4 bit cascadable comparator, 4 bit 7416x binary uo-counter,...) and the neccessary number of NAND/NOR/AND/OR/EXCLUSIVE OR/INCLUSIVE OR gates and SR/JK/DG/D/T flip-flops.

Answers

The block diagram of the network consists of various components and connections that enable the functioning of the 8-bit binary counter based on the 74LS16x family.

What are the input and output signals of the blocks in the block diagram, and what are the tasks of each box in terms of signal processing?

The logical network of the boxes in the block diagram involves the use of MSI circuits, such as the 4-bit parallel adder, 4-bit cascadable comparator, and 4-bit 7416x binary up-counter, along with the necessary number of logic gates and flip-flops. The input signals of the blocks in the block diagram include the clock signal, control signals, and data signals. The clock signal is used to synchronize the operations of the counter, while the control signals determine the specific sequence and timing of the output values. The data signals represent the binary values that are processed and propagated through the counter.

The tasks of the boxes in the block diagram involve performing specific operations on the input signals to generate the desired output sequence. For example, the 4-bit parallel adder can be used to increment the binary count by one, while the cascadable comparator can be utilized to compare the current count with predefined values to trigger specific actions. The 7416x binary up-counter can be employed to maintain the count and propagate it to subsequent stages.

In addition to these MSI circuits, logic gates such as NAND, NOR, AND, OR, XOR, and XNOR, as well as flip-flops like SR, JK, D, and T, are used to implement the necessary logic operations and sequential behavior within the counter.

Learn more about block diagram

brainly.com/question/13441314

#SPJ11

When 2 cars a and b are next to one another, they are traveling in the same dierection with speeds va and vb, respectively. If b maintains its constant speed, while a begins to decelerate at a a, determine the distance d between the cars at the instant a stops

Answers

Let us take the initial distance between car A and B as d₀. Let the time taken by car A to stop after it starts decelerating at a be t seconds. Now, the acceleration of car A = a (given), which is constant and negative (because it is decelerating).

Therefore, the velocity of car A after t seconds, vA

= uA + at

= va – at …(1) (where uA

= va is the initial velocity)The distance traveled by car A after t seconds, dA

The velocity of car B, vb, remains constant at vb throughout. So, the distance traveled by car B during this time t,

dB = vb × t …(3)

Now, we can use the equation of motion: for calculating the distance traveled by car A and B, respectively, where s = d₀ (initial distance between the cars) – d (distance between the cars at time t).Applying the equation to car A,

dA = (va + vA)t/2

= (va + va - at)t/2

= (2va - at)t/2

= va × t - (1/2)at² …(4) (using equation (1))

Applying the same equation to car B,

dB = (vb + vb)t/2

= vb × t …(5) (using equation (3))

We know that when car A stops, its velocity vA = 0.So, from equation (1), we get t = va/a. Substituting this value of t in equation (4) and (5), we get:dA = va²/2a …(6)and dB = vb × va/a …(7). Subtracting equation (7) from (6), we get the distance d between the cars at the instant car A stops.

To know more about distance visit:
https://brainly.com/question/13034462

#SPJ11

. A punch with a diameter of 15mm is used to make a circular hole in an 5mm steel plate. If a force of 80N is needed to produce the hole, what was the average shear stress acting over the newly formed surfaces of the hole

Answers

Given, Diameter of the punch, d = 15 mm Radius of the punch, r = d/2 = 15/2 mm = 7.5 mmThickness of the steel plate, t = 5 mmForce required to produce the hole, F = 80 N.

The average shear stress acting over the newly formed surfaces of the hole can be calculated using the formula:

τ = (4F)/(πd t) Where,τ = Shear stress F = Force required to produce the holed = Diameter of the punch t = Thickness of the steel plate Substituting the given values in the above formula:τ = (4F)/(πd t)τ = (4 x 80)/(π x 15 x 5)τ = 0.85 MP a   Therefore, the average shear stress acting over the newly formed surfaces of the hole is 0.85 MP a.

to know about Diameter  visit.

https://brainly.com/question/31445584

#SPJ11

rank the following gases in order of decreasing rate of effusion. rank from the highest to lowest effusion rate. to rank items as equivalent, overlap them.

Answers

It means that the gas with the lowest molecular weight will have the highest effusion rate.

What has the highest rate of effusion?

The given gases' effusion rates are listed in order from highest to lowest. The effusion rate of a hydrogen molecule is the highest, whereas that of a hydrocarbon is the lowest.

A gas will effuse faster when it is lighter and more slowly when it is heavier. Helium (He) will have the highest rate of effusion since it has the lowest molecular weight (atomic weight, in this example).

The following equation can be used to compare the rate of effusion for two gases: The effusion rates in this case are inversely related to the square root of the gas molecules' masses. A container contains an amalgam of neon and argon gas.

To learn more about rate of effusion is refer to:

https://brainly.com/question/28747259

#SPJ4

Ball A of mass mA and ball B of mass mB are connected with a string of length l. Initially, the string is loose and the distance between the two balls is b. At time t0, ball B is given a velocity of v0 perpendicular to the line connecting A and B. At time t1, the distance between A and B becomes l and the string becomes taut. We want to find the velocities of each ball right after the string becomes taut.


(a) Choose an inertial frame and a set of coordinates to describe the motion of the balls. Write the position, velocity, and acceleration (kinematics) of both


the balls.


(b) Is the linear momentum of the two-ball system conserved? Why?


(c) Is the angular momentum of ball B conserved right before and right


after the string becomes taut around any point or points? Explain (one to two sentences).


(d) What are the linear momenta of A, B and the two-ball system right


before and right after the string becomes taut?


(e) Find the position and velocity of the center of mass of the system right


before and right after the string becomes taut?


(f) What is the linear impulse applied by the string on A as the string becomes taut?

Ball A of mass mA and ball B of mass mB are connected with a string of length l. Initially, the string

Answers

In this case, if there are no external forces (such as friction or external impulses), the linear momentum of the system will be conserved.

(a) Inertial Frame and Coordinates:

Let's choose an inertial frame of reference where ball A is at the origin (0,0) and ball B initially has a position of (b,0).

We can choose the x-axis along the line connecting A and B, and the y-axis perpendicular to it. The positive x-direction is from A to B, and the positive y-direction is upward.

The position, velocity, and acceleration of each ball can be described as follows:

Ball A:

Position: rA(t) = (0, 0)  [remains fixed at the origin]

Velocity: vA(t) = (0, 0)  [no initial velocity or acceleration]

Acceleration: aA(t) = (0, 0)  [no initial velocity or acceleration]

Ball B:

Position: rB(t) = (b, 0)  [initial position at (b, 0)]

Velocity: vB(t) = (v0, 0)  [given initial velocity in the positive x-direction]

Acceleration: aB(t) = (0, 0)  [no initial acceleration]

(b) Conservation of Linear Momentum:

The linear momentum of the two-ball system is conserved if there are no external forces acting on the system.

(c) Conservation of Angular Momentum:

Right before and right after the string becomes taut, the angular momentum of ball B is conserved around any point because no external torques act on the system. The string only provides tension forces along the line connecting A and B, causing no torque.

(d) Linear Momenta:

Right before the string becomes taut:

Linear momentum of ball A: pA = mAvA = (0, 0)  [zero initial velocity]

Linear momentum of ball B: pB = mBvB = (mBv0, 0)  [initial velocity in the positive x-direction]

Linear momentum of the two-ball system: pSystem = pA + pB = (mBv0, 0)

Right after the string becomes taut:

Linear momentum of ball A: p'A = mAvA = (0, 0)  [zero velocity]

Linear momentum of ball B: p'B = mBv'B  [velocity to be determined]

Linear momentum of the two-ball system: p'System = p'A + p'B = (0, 0) + (mBv'B, 0) = (mBv'B, 0)

(e) Center of Mass:

Right before the string becomes taut:

Position of the center of mass: rCM = (mArA + mBrB) / (mA + mB) = (mBb, 0) / (mA + mB)

Right after the string becomes taut:

Position of the center of mass: r'CM = (mAr'A + mBr'B) / (mA + mB) = (0, 0)  [both balls are at the origin]

Velocity of the center of mass remains zero throughout since the balls have zero net momentum.

(f) Linear Impulse:

The linear impulse applied by the string on ball A as the string becomes taut is equal to the change in momentum of ball A.

Thus, since ball A has zero initial velocity and final velocity, the linear impulse is zero.

For more details regarding momentum, visit:

https://brainly.com/question/30677308

#SPJ1

Question 5
1 pts
Lumber which has been put through a planer is known as surfaced or
]

Answers

Answer:

what does that mean welp I have no idea sorry for answering

Other Questions
weber would consider mcdonaldization an example of what type of social action? a. instrumental b. affective c. value-rational d. traidtional Describe how the shape of the coast may influence anincoming wave. Explain using key terms such as reflectionoff the shape of the coast and reflection of incoming waves. What did president Roosevelt bring together to create what he called an arsenal of democracy Nonsense Conversion Problems. How many elephants are equal to 10 gorillas? Conversion Factors: 1 elephant= 13 farmers, 23 gorillas= 4 horses, 5 farmers= 2 horses. Use the drop-down menus to answer each question.During which part of the water cycle does water from Earth's surface move into the atmosphere?What happens as water cools? |How does water return to Earth from the atmosphere? [IntroDone Suppose that paulie and vinny each can produce ice cream or t-shirts. The table shows the quantity of each good that paulie and vinny each can produce in 1 hour, respectively, if they devote all of their time and effort into making the good. Round all answers to two decimal places. 5) For plant expansion, a communication company wishes to accumulate P50 M by investing equal amount each semi-annual for 50 years. If money is worth 20% nominal, how much must be invested semi-annually? a) P 3, 205, 616.80 b) P 2, 750, 605.80 c) P 3, 416, 205.90 d) P 2, 509, 815.80 and the World EconomyQuestion 3 of 10Henry Cabot Lodge supported imperialist policies including:A. Military action in Cuba.B. Expansion of the U.S. Navy.C. Annexation of the Philippines.O D. All of the aboveSUBMIT Why would a federal government decision to increase spending be a matter of macroeconomic policy?. The net shown can be used to form a cube.A net is shown that has six equal square faces. Four squares are attached in a column. The fifth and sixth squares are attached to the right and left sides of the third square in the column. Each side of each square is two feet.What is the surface area of the cube formed by the net?Enter the correct answer in the box. QuestionFor the function h(x) = 4x - 128, find h(-4).(Enter your answer as if the function does not have a value at 3 = -4.)Provide your answer below:h( - 4)= need help on 10,12, and 13 please What should be the first thing human try and research/solve with genetics? adjetivo de Jorge es tan inteligente como Eva. Solve 4x - 3 = 17 x = ? a responsible attitude toward paying bills and honoring obligations on time is called The ratio of girls to boys on team 6-5 is 4:5. If there are 99 students, how many boys are there Drag each tile to the correct box. All tiles will be used.In what order should these source entries appear on a Works Cited page? The mean number of days that the midge Chaoborus spends in its larval stage is 14. 1 days, with a standard deviation of 2. 2 days. This distribution is skewed toward higher values. What is the z-score for an individual midge that spends 12. 7 days in its larval stage? when a court can void the illegal part of an agreement and enforce the rest if the terms represent the main purpose of the original agreement, it is a(n) blank contract.