A rod of length ℓ and mass m is hinged at A. It is released from rest from the horizontal position. At the shown position AB, the rod makes an angle of 30° with the vertical.

Physics · Rotational Motion · question based on pure rotation about fixed axis

JEE Advanced

A rod of length ℓ and mass m is hinged at A. It is released from rest from the horizontal position. At the shown position AB, the rod makes an angle of 30° with the vertical.

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Sub-question 1

Then the angular velocity in this position is:-

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Sub-question 2

Force applied by the hinge on the rod along the rod is:-

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Sub-question 3

A ladder of length L is slipping with its ends against a vertical wall and a horizontal floor. At a certain moment, the speed of the end in contact with the horizontal floor is v and the ladder makes an angle α = 30° with the horizontal. Then the speed of the ladder's center must be:-

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