Question

In: Physics

The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass,...

The 25-lb slender rod has a length of 6 ft. Using a collar of negligible mass, its end A is confined to move along the smooth circular bar of radius 32√ ft. End B rests on the floor, for which the coefficient of kinetic friction is μB = 0.28. The bar is released from rest when θ = 30∘.

Determine the angular acceleration of the bar at this instant, measured clockwise.

Expert Solution

The question figure and free body diagram is as depicted below

From Newton's Second law,

Now,

where,

acts in the direction of the negative x-axis

acts in a direction making 45 degrees downward to the positive x-axis

acts in a direction making 30 degrees to the left to the positive y-axis

On solving the above equation, we get

Similarly

where,

acts in the direction of the negative x-axis

acts in the direction of the negative y-axis

acts in a direction making 45 degrees downward to the positive x-axis

acts in a direction making 30 degrees to the left to the positive y-axis

On solving equation (1) to (5), we get,

(Ans.)

genius_generous answered 1 year ago

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