Question

When calculating the moment of inertial of a cylinder with the z-axis as its symmetry axis,...

When calculating the moment of inertial of a cylinder with the z-axis as its symmetry axis, why are the moment of inertia Ixx and Iyy equal? Wou;dn't you get different values? For example in the intermediate axis theorem if there is no intermediate axis how would that work?

Science   Advanced-Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Moment of inertia is depend upon how the mass is distributed in a body about the axix of rotation. Since the mass along x and y direction is distributed uniformally so the moment of inertia Ixx and Iyy are equal whille body rotates about z axis.In case if we rotate the cylinder about anarbitrary axis (not about intermediate axis) then there will be changes in thevalues of  Ixx and Iyy.However If there is not intermediate axis then  Ixx and Iyy will never be same.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the moment of inertia of a uniformly dense hollow cylinder rotating about the y- axis....
Find the moment of inertia of a uniformly dense hollow cylinder rotating about the y- axis. [Clearly define all model elements and show all work for full credit] Check your answer with the following limiting conditions: - When a0 (solid disk/cylinder) - When a ≈ b (thin hoop/cylinder)
2. The previous problem requires you to use the parallel axis theorem. Is there some physical...
2. The previous problem requires you to use the parallel axis theorem. Is there some physical interpretation of the two terms in the parallel axis theorem? How does this physical interpretation relate to the comparison you made between the two methods of computing kinetic energy in the previous problem? Previous: A 250 g solid sphere and a 500 g solid sphere are connected by a massless, rigid rod that is 90 cm long, as measured between the centers of the...
You're riding a bike with two different wheels of equal mass and radius. One has its...
You're riding a bike with two different wheels of equal mass and radius. One has its mass distributed like a hollow cylinder, and the other has its mass distributed like a solid cylinder. You notice that it's difficult to get your bike to move when you start pedaling. To make it easier to start moving, you decide to make it so that both wheels are the same. Which one should you replace, and why?
A merry-go-round having a moment of inertia of 47,500 kgm^2 about its center and a radius...
A merry-go-round having a moment of inertia of 47,500 kgm^2 about its center and a radius of 3.75 m is powered by a pair of electric motors at opposite edges that provide forces of equal magnitude F= 330 N tangential to the edge. (a) How long does would the motors take to bring the merry-go-round from rest to its maximum speed of 3.50 rpm if they are working against a frictional torque of 1750 Nm? (b) Through how many revolutions...
A spool of thread has rolled under the bed! Fortunately, you get the free end of...
A spool of thread has rolled under the bed! Fortunately, you get the free end of it thread. The moment of inertia of a homogeneous, full cylinder about Its axis of symmetry is: ? = (1/2) ?? ^ 2. The moment of inertia of the whole spin about the axis of rotation is: ???? = 15?? ^ 2. The friction between the reel and the floor is  ?? = 0.25 (static) and ?? = 0.2 (dynamic). You start pulling the thread...
Please answer all, Thank you. 1. A firework is designed so that when it is fired...
Please answer all, Thank you. 1. A firework is designed so that when it is fired directly upwards, it explodes and splits into three equal-massed parts at its peak. Someone launches the firework directly upwards and measures the locations of two of the pieces of the firework. They find that one piece landed 2 meters to the left and another piece landed two meters in front of them. Where did the third piece of land? 2. A Newton's cradle is...
CONFIDENCE INTERVAL PROJECT – Day 3 On this sheet, you will be calculating 95% Confidence Intervals...
CONFIDENCE INTERVAL PROJECT – Day 3 On this sheet, you will be calculating 95% Confidence Intervals for your data. Fill in all of the values for each piece, the formula, then show the full calculation for the CI. Write the CI in 2 different ways: In + notation In interval notation: ( ________ , ________ ) When you record standard deviation- round to the nearest tenth. Use the back of this sheet if extra space is needed. PROPORTION CONFIDENCE INTERVAL:...
Hello, please review the statement below and determine if the statement is right or not (and...
Hello, please review the statement below and determine if the statement is right or not (and why). Explain the central limit theorem The central limit theorem states that when there’s a large enough sample size (generally 30 or more) with a finite level of variance, then the mean from all of the samples, from the same population, will be approximately equal to the mean of the population. There are three different components of the theorem. The first is successive sampling...
Governments to get the economy out of recession or cool the economy down when the economy...
Governments to get the economy out of recession or cool the economy down when the economy is overheating often use fiscal policy.   1. What is fiscal policy?   2. How can it be used to get the economy out of recession? 3. How can it be used to get the economy out of the situation where the economy is in an expansionary period where we exceed long run potential?   4. Do both situations result on different impacts on inflation? Why or...
10. Comparing the expenditure and value-added approaches for calculatingGDP The expenditure and value-added approaches to calculating...
10. Comparing the expenditure and value-added approaches for calculatingGDP The expenditure and value-added approaches to calculating GDP arrive at the same final number, but they reach that number in different ways. To illustrate, consider the possible effects of the following set of transactions on GDP: 1. Raphael pays Better Buy $800 for a new high-definition television (HDTV) and its installation. He's attracted by Better Buy's guarantee that he'll be happy with the new HDTV or get his money back. 2....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT