A sphere and a cylinder have the same radius and the same

Chapter 2, Problem 13Q

(choose chapter or problem)

Get Unlimited 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?

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:

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back