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

Question

Infinity Learn · Accepted Answer

Considering the tangential components of velocities,​$$vIM=$$−vOM​⇒$$vI=2vM$$−vO⇒ω$$image=2$$ωmirror−VobjectR​⇒ω$$image=24$$−$$30.5=2$$ $$rad/s$$

Plane mirror

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Plane mirror

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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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