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A small disc can slide in a circular pat...

A small disc can slide in a circular path on a frictionless inclined plane inclined at an angle of `30^(@)` with the help of a thread as shown. Mass of the disc is `m` and acceleration due to gravity is `g`. If the disc is released, when the thread is horizontal, expression for the tension in the thread at the lowest point is

A

`(1)/(2)mg`

B

`(3)/(2)mg`

C

`2mg`

D

`3mg`

Text Solution

Verified by Experts

The correct Answer is:
B
Applying work energy theorem from initial to final position, `mg sin30^(@)l=(1)/(2)mv^(2)`
Applying NLM, along radial direction at final position `-mgsin30^(@)+T=(mv^(2))/(l)rArrT=(3)/(2)mg`
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