Number 4 2. Derive an expression for the moment of inertia of the rod+ball system, given that a rodrotating about its end has a moment of inertia of ML, where M is its mass and L is itstotal length. Your expression should depend on m, M, and L only.I=((M/3)+m)+L^23. Using the other definition of angular momentum, L, = Iw, write an expression for thefinal momentum of the rod+ball system after the collision in terms of m, M, L,'and w.@ = (3mv)/(M+3m)L4. Using your expression from step 1 and 3, using conseryation of angular momentum tosolve for an expression for the final angular velocity of the rod+ball system after thecollision (answer should be in terms of v, m, M, and L) only.

here the ball stick with rod ball move with velocity v angular momentum = m v L With respect to…

Using your expression from step 1 and 3, using conseryation of angular momentum to solve for an expression for the final angular velocity of the rod+ball system after the collision (answer should be in terms of v, m, M, and L) only.

Using your expression from step 1 and 3, using conseryation of angular momentum to solve for an expression for the final angular velocity of the rod+ball system after the collision (answer should be in terms of v, m, M, and L) only.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

Number 4

2. Derive an expression for the moment of inertia of the rod+ball system, given that a rod
rotating about its end has a moment of inertia of ML, where M is its mass and L is its
total length. Your expression should depend on m, M, and L only.
I=((M/3)+m)+L^2
3. Using the other definition of angular momentum, L, = Iw, write an expression for the
final momentum of the rod+ball system after the collision in terms of m, M, L,'and w.
@ = (3mv)/(M+3m)L
4. Using your expression from step 1 and 3, using conseryation of angular momentum to
solve for an expression for the final angular velocity of the rod+ball system after the
collision (answer should be in terms of v, m, M, and L) only.

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