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Q.

A uniform rod AB of length 7m is undergoing combined rotational and translational motion on smooth horizontal surface such that, at some instant of time, velocities of its end point A and centre C are both perpendicular to the rod and opposite in direction, having magnitude 11 m/s and 3 m/s respectively as shown in the figure. Now consider that no external force and torque is acting on the rod. Then select correct options.

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a

Acceleration of point A is 56 m/s2

b

Acceleration of point B is 56 m/s2

c

At the instant shown in the figure acceleration of point C is zero  

d

Angular velocity of the rod is 4 rad/s

answer is A, B, C, D.

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Detailed Solution

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ω=11+37/2=4 

So Acceleration of A & B is 

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|aA|=|aB|=ω2L2=42×72=56

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A uniform rod AB of length 7m is undergoing combined rotational and translational motion on smooth horizontal surface such that, at some instant of time, velocities of its end point A and centre C are both perpendicular to the rod and opposite in direction, having magnitude 11 m/s and 3 m/s respectively as shown in the figure. Now consider that no external force and torque is acting on the rod. Then select correct options.