Question

Asked Oct 6, 2019

A bicycle wheel is mounted on a fixed, frictionless axle, with a light string wound around its rim. The wheel has moment of inertia I=kmr2, where m is its mass, r is its radius, and k is a dimensionless constant between zero and one. The wheel is rotating counterclockwise with angular speed ω0, when at time t=0 someone starts pulling the string with a force of magnitude F. Assume that the string does not slip on the wheel.

Suppose that after a certain time tL, the string has been pulled through a distance L. What is the final rotational speed ωfinal of the wheel?

Express your answer in terms of L, F, I, and ω0.

Step 1

Write the rotational kin...

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