Question

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits -∅and +∅. 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.
• B.
• C.
• D.

Answer 1

Answer: (B), (C)

The correct options are
B

C

From following figure it is clear that

T - Mg cos $\theta$ = Centripetal force

$\Rightarrow T-Mgcos\theta =\frac{M{v}^2}{L}$

Also tangential acceleration $|a_T|=gsin\theta$ .