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Q.

Two simple harmonic motions are represented by equationsy1=4sin⁡(10t+ϕ)y2=5cos⁡10tWhat is the phase difference between their velocities?

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a

ϕ

b

−ϕ

c

ϕ+π2

d

ϕ−π2

answer is D.

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Detailed Solution

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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