Purchase Solution

Rotational Motion: Rod released on smooth horizontal plane

Not what you're looking for?

Ask Custom Question

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

Purchase this Solution

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.

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 ...

Purchase this Solution


Free BrainMass Quizzes
Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Basic Physics

This quiz will test your knowledge about basic Physics.