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Question
The instantaneous displacement of a simple harmonic oscillator is given by y = A cos (ωt + n/4). Its speed will be maximum at the time:
The instantaneous displacement of a simple harmonic oscillator is given by y = A cos (ωt + n/4). Its speed will be maximum at the time:
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Solution
The correct option is B n/4ω
The velocity is the time derivative of displacement: V = dy/dt = -A ω(sin ωt + n/4). Its maximum magnitude equal to Aω is obtained ωt = n/4, from which t = n/4ω.
n/4ω
The velocity is the time derivative of displacement: V = dy/dt = -A ω(sin ωt + n/4). Its maximum magnitude equal to Aω is obtained ωt = n/4, from which t = n/4ω.
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