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A particle is moving in a vertical circl...

A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles `30^(@)` and `60^(@)` from vertical (lowest position) are `T_(1)` and `T_(2)` respectively, then

A

`T_(1)=T_(2)`

B

`T_(1)gtT_(2)`

C

`T_(1)ltT_(2)`

D

`T_(1)geT_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Tension `T=(mv^(2))/(r)+ mg cos theta`
for `theta=30^(@) T_(1)=(mv_(1)^(2))/(r)+mg cos 30^(@)`
`theta=60^(@) T_(2)=(mv_(1)^(2))/(r) mg cos 60^(@)`
`v_(1)gtv_(2)` and `cos 30^(@)gtcos60^(@)`
`rArrT_(1)gtT_(2)`
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