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.

Explanation

Velocity of particle 1
`V_(1)=(dy_(1))/(dt)=0.1cos(100pit+(pi)/(3))xx100pi`
`=10picos(100pit+(pi)/(3))`
Velocity of particle 2
`V_(2)=(dy_(2))/(dt)=0.1(sinpit)xxpi`
`=-0.1pisinpit`
`=0.1cos(pit+(pi)/(2))`
Phase difference of the of particle 1 velocity wiht respect to the velocity of particle 2 is
`Deltaphi=phi_(1)-phi_(2)=(pi)/(3)-(pi)/(2)=-(pi)/(6)`