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AP® Physics C: Mechanics

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Torque and Equilibrium

APPHMC-XWEEF6

The solid cylinder depicted above with moment of Inertia, $I$, is being acted on by force, $F$, that acts tangentially along the edge of the disc as depicted above.

What must be the value of force $F^\prime$ so that the cylinder rotates at a constant angular velocity if $r=\frac{R}{2}$.

A

$F^\prime=2F$

B

$F^\prime=\frac{F}{2}$

C

$F^\prime=F$

D

$F^\prime=2Fsin(30^0)$

E

$F^\prime=\frac{F}{2}sin(30^0)$