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Dynamics Problem - Backspin (Friction, Velocity)

A 1.2ft diameter ball is thrown onto a rough surface, such that it has a velocity of 6ft/s and a backspin angular velocity of w. If it is to stop backspinning at the same instant as the velocity is 0, the backspin w in rad/s is what? HINT: The answer is independent of the mass and coefficient of friction.
a. 17.8
b. 22.0
c. 25.0
d. 28.1

*Please see attachment for diagram and figures; please show your work.

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Solution Preview

Let us assume the friction force will be f, acting backward, therefore, the force f will help to reduce the back spinning wo to 0, and and also reduce the forward linear speed ...

Solution Summary

The solution is given step-by-step equationally.