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A ball is suspended by a thread of lengt...

A ball is suspended by a thread of length l at the point O on an incline wall as shown. The inclination of the wall with the vertical is α.The thread is displaced through a small angle β away from the vertical and the ball is released. Find the period of oscillation of pendulum.
Consider both cases
a. `alpha gt beta`
b. `alpha lt beta`
Assuming that any impact between the wall and the ball is elastic.

A

`2sqrt((t)/(g))[sin^(-1)((alpha)/(beta))]`

B

`2sqrt((l)/(g))[(pi)/(2)+sin^(-1)(alpha/(beta))]`

C

`2sqrt((l)/(g))[cos^(-1)(alpha/(beta))]`

D

`2sqrt((l)/(g))[cos^(-1)(-alpha/(beta))]`

Text Solution

Verified by Experts

The correct Answer is:
B, D
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