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 = Io, write an expression for the final momentum of the rod+ball system after the collision in terms of m, M, L,'and o. (3mv)/(M+3m)L %3D 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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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, = Io, write an expression for the
final momentum of the rod+ball system after the collision in terms of m, M, L,'and a.
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.
Transcribed Image Text: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, = Io, write an expression for the final momentum of the rod+ball system after the collision in terms of m, M, L,'and a. 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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