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Question: Two identical simple pendulums A and B are fixed at same point. They are displaced by very small ang...

Two identical simple pendulums A and B are fixed at same point. They are displaced by very small angles a and b ( b>a) and released from rest. Find the time after which B reaches its initial position for the first time. Collisions are elastic and length of strings is l.

A

B

C

D

Answer

Explanation

Solution

Time period of both A and B T = 2p

After first collision, B acquires amplitude of A and after second collision it acquires its own amplitude in this process time taken is

= + T4\frac { T } { 4 } + T4\frac { T } { 4 } + = T = 2πℓg2 \pi \sqrt { \frac { \ell } { \mathrm { g } } }