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Q.

The instantaneous displacement of a simple pendulum oscillator is given by x=Acosωt+π4 . Its speed will be maximum at time

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a

π4ω

b

π2ω

c

πω

d

2πω

answer is A.

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Detailed Solution

x=Acosωt+π4 and v=dxdt=−Aωsinω t+π4For maximum speed,  sin ω t+π4=1 ⇒ω t+π4=π2 or ω t=π2−π4 ⇒t=π4ω
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