Selami E.

asked • 05/15/21

Guess the shape of the object from its moment of inertia

A uniform round object of mass M and radius R is placed on a

at surface with initial

angular velocity w0 as shown in the gure below. The moment of inertia of the object about the center

of mass is I = xMR2 where

is x is a positive constant. The object has angular velocity w when it starts

rolling without slipping. Find

b) if angular speed is w = (2/5)*w0, calculate

and guess the shape of the round object. (Hint: You

can solve the problem by considering the non-slipping condition, vcm = !R, or by considering the

conservation of the angular momentum.)

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