A particle is executing a motion in which its displacement as a function of time is given by
`x = 3 sin (5 pi t + pi//3) + cos (5pi + pi//3)` where `x` is in `m` and `t` is in `s`. Then the motion 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 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 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 motion of a particle executing S.H.M. is given by x = 5sin200 pi (t + 1) where x is in metres and time is in seconds. The time period is

A particle is subjected to two simple harmonic motions given by x_(1) = 2.0sin (100 pi t) and x_(2) = 2.0sin (120pi t + pi //3) where, x is in cm and t in second. Find the displacement of the particle at (a) t = 0.0125 , (b) t = 0.025 .

A particle is subjected to two simple harmonic motions given by x_(1) = 2.0sin (100 pi t) and x_(2) = 2.0sin (120pi t + pi //3) where, x is in cm and t in second. Find the displacement of the particle at (a) t = 0.0125 , (b) t = 0.025 .

A particle has displacement y given by y =3 sin (5 pi t + pi) , where y is in meter and t is in second. What are frequency and period of motion ?

The motion of a particle executing S.H.M. is given by x= 0.01 sin 100 pi (t+.05) , where x is in metres and time is in seconds. The time period is

The displacement of a particle performing a S.H.M. is given by x=0.5 "sin" 100 pi (t + 0.05) , where x is in metres and t is in second. Its periodic time in second is

The displacement of a particle from its mean position (in meter) is given by Y = 0.2 sin(10 pi t + 1.5 pi) cos (10 pi t + 1.5 pi) . The motion of the particle is