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Questions  

Two simple harmonic motions are represented by equations

y1=4sin(10t+ϕ)y2=5cos10t

What is the phase difference between their velocities?

a
ϕ
b
−ϕ
c
ϕ+π2
d
ϕ−π2

detailed solution

Correct option is D

y1=4sin⁡(10t+ϕ), y2=5cos⁡10tv1=dy1dt=40cos⁡(10t+ϕ)v2=dy2dt=−50sin⁡10t=50cos⁡10t+π2 Phase difference between v1 and v2=ϕ−π2

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