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A thin uniform rod AB of mass m and leng...

A thin uniform rod AB of mass m and length l is hinged at one end to the level floor and stands vertically. If it s allowed to fall, with what angular velocity will it strike the floor?

Text Solution

Verified by Experts

The correct Answer is:
sqrt(3g//l)`
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Knowledge Check

  • A thin rod of mass m and length l is hinged at the lower end to a level floor and stands vertically. Then its upper end will strike the floor with a velocity given by:

    A
    `sqrt(2gl)`
    B
    `sqrt(3gl)`
    C
    `sqrt(5gl)`
    D
    `sqrt(mgl)`

  • A rod of length L , hinged at the bottom is held vertically and then allowed to fall, the linear velocity of its top when it hits the floor is

    A
    `sqrt(2gL)`
    B
    `sqrt((2g)/(L))`
    C
    `sqrt(3gL)`
    D
    `sqrt((3g)/(L))`

  • A uniform rod of mass m and length / is hinged at upper end. Rod is free to rotate in vertical plane. A bail of mass m moving horizontally with velocity vo collides at lower end of rod perpendicular to it and sticks to it. The minimum velocity of the ball such that combined system just completes the vertical circle will be

    A
    `2[sqrt(2gl)]`
    B
    `sqrt(2gl)`
    C
    `2[sqrt(gl)]`
    D
    `sqrt(gl)`

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