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Two simple harmonic motion are represent...

Two simple harmonic motion are represented by equations
`y_(1) = 4 sin (10 t + phi)` and `y_(2) = 5 cos 10t`
What is the phase difference between their velocities ?

A

`phi`

B

`-phi`

C

`(phi+(pi)/(2))`

D

`(phi-(pi)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
`y_1=4sin(10t+phi)`,`y_2=5cos10t`
`v_1=(dy_1)/(dt)=40cos(10t+phi)`
`v_2=(dy_2)/(dt)=-50sin10t=50cos(10t+(pi)/(2))`
phase difference between `v_1` and `v_2=(phi-(pi)/(2))`
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