A simple pendulum of length $L$ and mass (bob) $M$ is oscillating in a plane about a vertical line between angular limits $ - \varphi $ and $ + \varphi $. For an angular displacement $\theta (|\theta | < \varphi )$, 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 simple pendulum of length $L$ and mass (bob) $M$ is oscillating in a plane about a vertical line between angular limits $ - \varphi $ and $ + \varphi $. For an angular displacement $\theta (|\theta | < \varphi )$, 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
- [IIT 1986]
- A
$T\cos \theta = Mg$
- B
$T - Mg\cos \theta = \frac{{M{v^2}}}{L}$
- C
The magnitude of the tangential acceleration of the bob $|{a_T}|\, = g\sin \theta $
- D
Both (b) and (c)
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