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A uniform rod of mass M & length L is ...

A uniform rod of mass M & length L is hinged about its one end as shown. Initially it is held vartical and then allowed to rotate, the angular velocity of rod when it makes an angle of `37^(@)` with the vertical is

A

`sqrt((12g)/(5L))`

B

`sqrt((3g)/(5L))`

C

`sqrt((g)/(5L))`

D

`sqrt((g)/(L))`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • 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 l is suspended about its end. Time period of small angular oscillations is

    A
    `2pi sqrt((l)/(g))`
    B
    `2pi sqrt((2l)/(g))`
    C
    `2pi sqrt((2l)/(3g))`
    D
    `2pi sqrt((l)/(3g))`
  • A rod of length L is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod, When it is in verticle position is

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