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A plane mirror is rotating about ‘O’ with constant angular velocity 4 rad/sec in anticlockwise direction. A point ‘P’ is moving in a circle of radius 50 cm with constant speed 3 m/s in anticlockwise direction about point O. At a given instant as shown in figure, the angular velocity of image is (in rad/s) is

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Detailed Solution

Considering the tangential components of velocities,​vIM=−vOM​⇒vI=2vM−vO⇒ωimage=2ωmirror−VobjectR​⇒ωimage=24−30.5=2 rad/s
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A plane mirror is rotating about ‘O’ with constant angular velocity 4 rad/sec in anticlockwise direction. A point ‘P’ is moving in a circle of radius 50 cm with constant speed 3 m/s in anticlockwise direction about point O. At a given instant as shown in figure, the angular velocity of image is (in rad/s) is