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1. The problem statement, all variables and given/known data

**** PICTURED IS ATTACHED ***

The center of the homogeneous disk of mass m shown below has an initial velocity of v0

up the slope. Find the velocity of the disk after an elapsed time of !t, assuming that the

disk rolls without slip.

Use the following: m = 6 kg, r = 0.4 m, theta = 36.87°, Vo

= 32 m / sec and delta(t) = 8 secs .

2. Relevant equations

G1+ integral(F)dt = G2 where G1 = mVo and G2= mVf

3. The attempt at a solution

i drew up 2 free body diagrams. mg is acting down. A normal force acting on the contact surface at an angle of the incline plane. then friction. Friction is the only difference. initially friction will be acting down the slope because the ball is moving up the slope. but then i assumed that the 8 seconds we analyze this the ball will stop at some point and start to roll

down (due to gravity and friction) so the friction flips to go up the incline plane.

i assumed we would have to break this problem into two parts (as mentioned above) to solve it, but i am having trouble finding my time it takes for the disk to stop AND the friction force (we are not given a kinetic or static coefficient of friction)

if someone could please help me out that would be great!!

thanks in advance :)

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# Homework Help: Rigid Body Momentum?

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