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Q.

The end B of the rod AB which makes an angle θ with the floor is being pulled with a constant velocity V0 as shown in the figure. The length of the rod is l . At the instant when θ=37°

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a

Velocity of end A is 23v0 downwards

b

angular velocity of rod is 53V0l

c

velocity of end A is constant

d

angular velocity of rod is constant

answer is B.

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Detailed Solution

This equation is on example of combined rotational and translational motion, here we are solving this with the help of instantaneous axis of rotation is lying at a distance of lsinθ from end B and perpendicular to V0. Let ω is the angular velocity of rod. Then.

VA=ω×lcosθ and VA=V0=ω×lsinθ

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