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Rotational Motion: Rod released on smooth horizontal plane

A thin rod of length h and mass M is held vertically with its lower end resting on a frictionless horizontal surface. The rod is then released to fall freely. Determine the speed of its center of mass just before it hits the horizontal surface. Use h, M, and g for length, mass, and gravitational acceleration respectively.

(b) What If? Now suppose the rod has a fixed pivot at its lower end. Determine the speed of the rod's center of mass just before it hits the surface. Use h, M, and g for length, mass, and gravitational acceleration respectively

Solution Summary

A rod is released from vertical position (a) on a smooth horizontal surface (b) about pivot at the lower end, and the velocity of the center of mass is calculated as the rod struck the horizontal surface.

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