Question

A uniform bar of mass m and length L is pivoted at one end and is held vertically as shown. After the bar is released, it swings downward with no friction in the pivot.

At the instant the bar is horizontal, find the magnitudes of the following quantities (use g for the acceleration of gravity):
The angular speed of the bar ω=?
The angular acceleration of the bar α=?
At the instant the bar is horizontal, find the the following quantities (use g for the acceleration of gravity):

The linear speed of the free end of the bar v=?
The magnitude of the horizontal component of the acceleration of the free end of the bar? a=?
The magnitude of the vertical component of the acceleration of the free end of the bar a=?
At the instant the bar is horizontal, find the the following quantities (use g for the acceleration of gravity):

The linear speed of the midpoint of the bar v=?
The magnitude of the horizontal component of the acceleration of the midpoint of the bar a=?
The magnitude of the vertical component of the acceleration of the midpoint of the bar a=?
At the instant the bar is horizontal, find the the following quantities (use g for the acceleration of gravity):

The magnitude of the horizontal component of the force exerted on the bar by the hinge F=?
The magnitude of the vertical component of the force exerted on the bar by the hinge F=?

Answer 1

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