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A rod is released from the horizontal po...

A rod is released from the horizontal position as shown. It is free to rotate about hinge. Find angular velocity of rod when it become vertical?

A

` W = sqrt((3g)/(2l))`

B

` W = sqrt((3g)/(l))`

C

` W = sqrt((2g)/(3l))`

D

NONE

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Knowledge Check

  • One end of a uniform rod of length l and mass m is hinged at A. It is released from rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes vertical is

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

  • A uniform thin rod of length I and mass m is hinged at a distance (l)/(4) from one of the end and released from horizontal position as shown in diagram. What will be the angular velocity of the rod as it passes the vertical line?

    A
    `2 sqrt ((5g)/(71))`
    B
    `2 sqrt ((6g)/( 71))`
    C
    `sqrt (( 3g)/( 71))`
    D
    `2 sqrt ((2)/(1))`

  • One end of a uniform rod of length l and mass m is hinged at A. It is released from the rest from horizontal position AB as shown in figure. The force exerted by the rod on the hinge when it becomes verticle is

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

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