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Question: A particle has velocity √3rg at the highest point in a vertical circle. Find the ratio of tensions a...

A particle has velocity √3rg at the highest point in a vertical circle. Find the ratio of tensions at the highest and lowest point.

A

1 : 6

B

1 : 4

C

1 : 3

D

1 : 2

Answer

1 : 4

Explanation

Solution

Ttop = mv2r\frac{mv^{2}}{r} - mg = 2mg;

TtopTbottom=2mg2mg+6mg=14\frac{T_{top}}{T_{bottom}} = \frac{2mg}{2mg + 6mg} = \frac{1}{4}.