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A sphere and a cylinder have the same radius and the same
Chapter 2, Problem 13Q(choose chapter or problem)
A sphere and a cylinder have the same radius and the same mass. They start from rest at the top of an incline. Which reaches the bottom first? Which has the greater speed at the bottom? Which has the greater total kinetic energy at the bottom? Which has the greater rotational KE?
Questions & Answers
QUESTION:
A sphere and a cylinder have the same radius and the same mass. They start from rest at the top of an incline. Which reaches the bottom first? Which has the greater speed at the bottom? Which has the greater total kinetic energy at the bottom? Which has the greater rotational KE?
ANSWER:Step 1 of 5
A sphere and cylinder are of the same mass = M and the same radius = R.
The Moment of Inertia of the sphere
The Moment of Inertia of the cylinder I2 = MR2
Applying the conservation of Energy at the top and bottom of the incline, we get: