The equation of linear S.H.M. of a particle is given by `x =0.5 "sin" [4pi t - (pi)/(3)]`, the term `(pi)/(3)` represents

The equation of motion of a particle executing a linear S.H.M. is given by x =10 "sin" (4t-pi//6)cm . What is its velocity, when x=6 ?

The equation of motion for an oscillating particle is given by x = 3 sin 4pi t + 4 cos pi t where x is in mm and t is in second. The particle

The equation of a wave motion is given by y = 7 sin(7pi t - 0.4 pi x + (pi)/(3)) , where all quantities are measured in SI units. Then the ratio of wave velocity to the maximum particle velocity is

The displacment of particle performing a linear S.H.M. is given by x=5 "sin" (8pi+pi//3) , where x is in metre and t is in second. The frequency and period of S.H.M. are given by

The displacement of a particle linear S.H.M. is given by x = 6 sin [3(pi)t + 5(pi) /6] meter. Find amplitude, frequency and the phase constant of the motion .

The displacement of a particle is given by x = 3 sin ( 5 pi t) + 4 cos ( 5 pi t) . The amplitude of particle is

The displacement of a particle is given by x = 3 sin ( 5 pi t) + 4 cos ( 5 pi t) . The amplitude of particle is

The equation of a body of mass m and performing a linear S.H.M is given by x = a "sin" omega t + b "sin" (omega t +(pi)/(2)) . The total energy of the particle at any ins"tan"t is

The S.H.M.s of two particles are given by y_(1)=10 "sin" [2pi t +(pi)/(6)] " and " y_(2) =5["sin" 2pi t + sqrt(3) "cos" 2 pi t] The ratio of their amplitudes is