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The pulleys and strings shown in the fig...

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle `theta` should be

A

`0^@C `

B

`30^@`

C

`45^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
C
The tension in both strings will be same due to symmetry.

For equilibrium in vertical direction for body B we have
`sqrt2 mg =2T costheta`
`:.` `sqrt2 mg=2(mg) cos theta` [`:' T=mg`, (at euilibrium)]
`:.` `costheta=1/sqrt2impliestheta=45^@`
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Knowledge Check

  • The pulley and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle theta should be

    A
    `0^(@)`
    B
    `30^(@)`
    C
    `45 ^(@)`
    D
    `60^(@)`

  • The pulley & strings shown in figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle theta should be

    A
    `0^(@)`
    B
    `30^(@)`
    C
    `45^(@)`
    D
    `60^(@)`

  • A smooth rod length l is kept inside a trolley at an angle theta as shown in the figure. What should be the acceleration a of the trolley so that the rod remain in equilibrium with respect to it?

    A
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