Explore BrainMass

# Finding the ratio between two velocities down a ramp.

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

A marble and a cube are placed at the top of a ramp. Starting from rest at the same height, the marble rolls and the cube slides (no kinetic friction) down the ramp. Find the ratio of the center-of-mass speed of the cube to the center-of-mass speed of the marble at the bottom of the ramp.

Â© BrainMass Inc. brainmass.com November 29, 2021, 11:51 pm ad1c9bdddf
https://brainmass.com/physics/velocity/finding-the-ratio-between-two-velocities-down-a-ramp-5659

#### Solution Preview

<br>The rolling marble has a friction force acting on it at the point of contact, (otherwise it would slide, not roll). We take the point of contact as a reference axis, and apply 'net torque about that axis = (moment of inertia about that axis) x (angular acceleration of the marble).
<br>The net torque about that axis is:
<br>(1) '(M g ...

\$2.49