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A rod PQ of mass M and length L is hinge...

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a mass less than string tied at a point Q as shown in figure. When string is cut, the initial acceleration rod is:

A

`(3g)/(2L)`

B

`g/L`

C

`(2g)/L`

D

`(2g)/(3L)`

Text Solution

Verified by Experts

The correct Answer is:
A

`tau=I alpha, tau=L/2Mg`
`I=(ML^(2))/3`
`L/2Mg=(ML^(2))/3xxalpha`
`:.alpha=(3g)/(2L)`
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