Problem D5:
An object, of mass m and radius R, rolls without slipping down an incline plane.
The incline makes an angle θ with the horizontal, where sin θ = 1/n2.
The rotational intertia divided by mR2 of the rolling object is equal
to I/(mR2) = 2/n1. What is the frictional force that the
incline exerts on the rolling object? If the frictional force equals
f = mg/n3, what is n3?
Note that for a thin ring, n1=2; for a uniform disk, n1=4;
and for a sphere, n1=5. Also,
n1, n2, and n3 are unitless.
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