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A 40 kg sphere suspended by a thread of ...

A 40 kg sphere suspended by a thread of legnth 1 is oscillating in a vertial plane, the angular amplitude being `theta_(0)`. What is the tension in the thread when it makes an angle `theta` with the vertical during oscillations? If the thread can support a maximum tension of 80 kg-f, then what can be the maximum angular amplitude of oscillation of the sphere without breaking the rope?

A

`3mg cos theta-2mg cos theta_(0),theta_(0)=60^(@)`

B

`3mgcos theta+2mg cos theta_(0),theta_(0)=60^(@)`

C

`2mgcos theta-3mg cos theta_(0),theta_(0)=30^(@)`

D

`2mgcos theta+3 mg cos theta_(0),theta_(0)=30^(@)`

Text Solution

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The correct Answer is:
A
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