Two simple harmonic motions are represented by `v_(1)=10pi cos(100pit+(pi)/(3)) and v_(2)=-0.1 pi sin pit,` where `v_(1) and v_(2)` represent velocities of particles. Calculate the initial phase of velocity of particle (1) w.r.t. the velocity of particle (2).

Explanation

Givne, `v_(1)=10pi cos(100pit_(pi)/(3))" "v_(2)=-0.1pisin pit`
`or v_(2)=0.1picos(pit+(pi)/(2))`
Initial phase of particle (1) is `(pi)/(3)` and that of (2) is `(pi)/(2)`
`therefore" "` Phase of velocity of particle (1) w.r.t particle (2) is `(pi)/(3)-(pi)/(2)=-(pi)/(6)" rad."`