A thin cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, without slipping, from the top of an inclined plane that is 1 m above the ground. The acceleration of gravity is 9.8 m/s2.
Find the final linear velocity of the (b) thin and (a) solid cylinder.
(c) When the first object reaches the bottom, what is the height above the ground of the other object?
E = mgh + 1/2mv^2 + 1/2Iw^2
w = v/r
I = mr^2
I = 1/2mr^2
The Attempt at a Solution
(a) vf (solid) = (4gh/3)^1/2 = 3.61 m/s
(b) vf (thin) = (gh)^1/2 = 3.13 m/s
I don't know where to start for part c.