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Two simple harmonic are represented by t...

Two simple harmonic are represented by the equation `y_(1)=0.1 sin (100pi+(pi)/3) and y_(2)=0.1 cos pit`.
The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is.

A

`-pi/6`

B

`pi/3`

C

`-pi/3`

D

`pi/6`

Text Solution

Verified by Experts

The correct Answer is:
A
`v_(1)=(dy_(1))/(dt)=0.1xx100picos(100pit+pi//3),v_(2)=(dy_(2))/(dt)=-0.1xxpisinpit=0.1xxpicos(pit+pi//2)`
Phase difference `Deltaphi_(12)=(pi)/(3)-(pi)/(2)=-(pi)/(6)`.
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