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A uniform slender rod of mass M and leng...

A uniform slender rod of mass `M` and length `L` is pivoted at its end. The rod is released from its nearly vertical position. What is the reaction at the pivot when the rod reaches the horizontal position? If the support is withdrawn at this instant, describe the subsequent motion of the rod.

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Knowledge Check

  • A uniform rod of mass 20 Kg and length 1.6 m is piovted at its end and swings freely in the vertical plane. Angular acceleration of the rod just after the rod is relased from rest in the horizontal position is

    A
    `(15g)/(16)`
    B
    `(17g)/(16)`
    C
    `(16g)/(15)`
    D
    `(g)/(15)`

  • A rod of mass m and length l is hinged at 'its' end and released from rest in position shown. Find the force exerted by the hinge when the rod becomes horizontal

    A
    `(mg)/4`
    B
    `(3mg)/2 cos theta`
    C
    `(mg)/4sqrt(9cos^(2)theta+1/4)`
    D
    `(mg)/2 sqrt(9 cos^(2)theta+1/4)`

  • A uniform rod of mass m, hinged at its upper end, is released from rest from a horizontal position. When it passes through the vertical position, the force on the hinge is

    A
    `(3)/(2)mg`
    B
    `2mg`
    C
    `(5)/(2)mg`
    D
    3mg

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