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.
F
m
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F m

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Expert Answer

Step 1

Write the rotational kin...

final
From newton's second law of motion , acceleration is given by
a
I
Fr
[2]
I
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final From newton's second law of motion , acceleration is given by a I Fr [2] I

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