A cylinder with a moment of inertia I (about its axis of symmetry), mass m, and

Question

A cylinder with a moment of inertia I (about its axis of symmetry), mass m, and radius r has a massless string wrapped around it which is tied to the ceiling (Figure 1) . At time t=0 the cylinder is released from rest at height h above the ground. Use g for the magnitude of the acceleration of gravity. Assume that the string does not slip on the cylinder. Let v_vec represent the instantaneous velocity of the center of mass of the cylinder, and let omega_vec represent the instantaneous angular velocity of the cylinder about its center of mass. Note that there are no horizontal forces present, so for this problem ec{v} = -v hat{y} and ec{omega}= - omega hat{z}.

Explanation / Answer

The bending "MOMENT" is independent of the type of member. The bending "STRESS" depends on the geometry of the member.

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