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Questions  

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

a
π4ω
b
π2ω
c
πω
d
2πω

detailed solution

Correct option is A

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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