Explore BrainMass

# Rotational Motion: Rod released on smooth horizontal plane

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

Â© BrainMass Inc. brainmass.com December 15, 2022, 4:56 pm ad1c9bdddf
https://brainmass.com/physics/energy/rotational-motion-rod-released-smooth-horizontal-plane-52879

#### Solution Preview

Please see the attached file.

energy
________________________________________
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.
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.

Answer:
(a)

1) As there is no friction between the rod and the horizontal surface, there is no external force acting on the rod during the motion and the center of mass of the rod moves straight downwards.
2) As ...

#### 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.

\$2.49