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A simple pendulum of length L and mass (...

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limit `-phi` and `+phi`. For an angular displacement `theta(|theta|ltphi)`, the tension in the string and the velocity of the bob are T and V respectively. The following relations hold good under the above conditions:

A

`T cos theta = Mg`

B

`T - Mg cos theta = (Mv^(2))/(L)`

C

Tangential acceleration `= g sin theta`

D

`T = Mg cos theta`

Text Solution

Verified by Experts

The correct Answer is:
B, C

From the dynamics of non uniform circular motion, `T - Mg cos theta = Mv^(2)//L`. Also, tangential acceleration = `g sin theta`
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