There are four objects that can be rolled down a ramp. They are a hollow cylinde

Question

There are four objects that can be rolled down a ramp. They are a hollow cylinder, a solid
cylinder, and two spheres. They all have the same total mass and the same radius. One of the
spheres has a special anti-friction coating, so it slides down the ramp instead of rolling. We
start them all down the ramp at the same time. The moment of inertia of a sphere is 2/5mr^2, cylinder=1/2mr^2 and hollow cylinder is mr^2.

A.) Which object will arrive first and which will be last?

a. The sliding sphere.
b. The rolling sphere.
c. The solid cylinder.
d. The hollow cylinder.
e. The all arrive at the same time.

B)Which object has the greatest rotational kinetic energy when it arrives at the bottom?

C.) Which object has the greatest total kinetic energy when it reaches the bottom?

Explanation / Answer

e. The all arrive at the same time.

Because there is no Friction

Rotational Kinetic is maximum for maximum I

So for Hollow Cylinder

Total Kinetic energy is same for all

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