Two simple harmonic motions are represented by the equations y1= 0.1 sin(100π t+π3) and y2 = 0.1 cosπ tThe phase difference of the velocity of particle 1 with respect to the velocity of particle 2 at t= 0 is
v1=dy1dt=0.1× 100 π cos(100π t+π3)
v2=dy2dt=−0.1 π sin π t=0.1π cos(π t+π2)
Phase difference of velocity of first particle with respect to the velocity of 2nd particle at
t = 0 is
△ ϕ=ϕ1−ϕ2=π3−π2=−π6.