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A long rod ABC of mass "m" and length "L...

A long rod `ABC` of mass "m" and length "L" has two particles of masses "m" and "2m" attached to it as shown in the figure. The system is initially in the horizontal position. The work to be done to keep it vertical with `A` hinged at the bottom is
.

A

`2mgL`

B

`3mgL//2`

C

`5mgL//2`

D

`3mgL`

Text Solution

Verified by Experts

The correct Answer is:
D

`W = mg L/(2) + mg "(L)/(2) + 2mgL`.
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Knowledge Check

  • Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibrium, then

    A
    `tantheta=1+(2M)/(m)`
    B
    `tantheta=1+(2m)/(M)`
    C
    `cottheta=1+(2M)/(m)`
    D
    `cottheta=1+(2m)/(M)`
  • A uniform rod of mass m and length L is suspended with two massless strings as shown in the figure. If the rod is at rest in a horizontal position the ratio of tension in the two strings T_1/T_2 is:

    A
    `1:1`
    B
    `1:2`
    C
    `2:1`
    D
    `4:3`
  • 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)`
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