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Question

Question: A particle is moving in a vertical circle. The tensions in the string when passing through two posit...

A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles 30o and 60o from vertical (lowest position) are T1 and T2 respectively, Then

A

T1=T2T_{1} = T_{2}

B

T1>T2T_{1} > T_{2}

C

T1<T2T_{1} < T_{2}

D

T1T2T_{1} \geq T_{2}

Answer

T1>T2T_{1} > T_{2}

Explanation

Solution

T=mgcosθ+mv2rT = mg\cos\theta + \frac{mv^{2}}{r}

As θ\thetaincreases T decreases

So

T1>T2T_{1} > T_{2}