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In a simple pendulum, the breaking stren...

In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle `theta` with the vertical.

A

`theta=cos^(-1)``(1)/(3)`

B

`theta=60^(@)`

C

`theta=cos^(-1)``(2)/(3)`

D

`theta=0`

Text Solution

Verified by Experts

The correct Answer is:
C
`t=mg cos theta + (mv^(2))/(r) .....(i)`
`T=2mg .....(ii)`
`M.E.` conservation
`mgr = mgr (1- cos theta )+(1)/(2) mv^(2) ……(iii)`
From `(i),(ii) & (iii) theta = cos ^(-1)``(2)/(3)` Ans.
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