Consider a pair of identical pendulums, which oscillate with equal amplitude independently such that when one pendulum is at its extreme position making an angle of 2o to the right with the vertical, the other pendulum makes an angle of 1o to the left of the vertical. What is the phase difference between the pendulums?
 Consider a pair of identical pendulums, which oscillate with equal amplitude independently such that when one pendulum is at its extreme position making an angle of 2o to the right with the vertical, the other pendulum makes an angle of 1o to the left of the vertical. What is the phase difference between the pendulums?

Answer:

We can write the following set of equations:

θ1 = θ0 sin (wt + δ1)                      ………………………….(1)

θ2 = θ0 sin (wt + δ2)                     ……………………………..(2)

for first equation we have , θ = 2o

Upon putting this values, the equation (1) reduces to –

wt + δ1 = 90o

and for the second equation, we have θ = -1o

Similarly from (2), => wt + δ2 = – 30o

Therefore, upon equating te results we gte

δ1 – δ2 = 120o