The displacement of a particle at time `t` is given by `x=A_(1)sin(-2 omega t)+A_(2)sin^(2)omega t` .Then

The displacement of a particle along the x-axis is given by x = a sin^(2) omega t . The motion of the particle corresponds to

The displacement of a particle along the x- axis it given by x = a sin^(2) omega t The motion of the particle corresponds to

The displacement of a particle varies with time as x = 12 sin omega t - 16 sin^(2) omega t (in cm) it is motion is S.H.M. then its maximum acceleration is

The displacement of a particle varies with time as x = 12 sin omega t - 16 sin^(3) omega t (in cm) it is motion is S.H.M. then its maximum acceleration is

The displacement x of a particle along a straight line at time t is given by x = a_(0) +a_(1)t + a_(2)t ^(2) . The acceleration of the particle is

The linear displacement (y) of a particle varies with time as y = (a sin omega t + b cos omega t) . State whether the particle is executing SHM or not.

The displacement vector of a particle of mass m is given by r (t) = hati A cos omega t + hatj B sin omega t . (a) Show that the trajectory is an ellipse. (b) Show that F = -m omega^(2)r .

The displacement vector of a particle of mass m is given by r (t) = hati A cos omega t + hatj B sin omega t . (a) Show that the trajectory is an ellipse. (b) Show that F = -m omega^(2)r .

The displacement of a particle performing simple harmonic motion is given by, x=8 "sin" "omega t + 6 cos omega t, where distance is in cm and time is in second. What is the amplitude of motion?

Find the average speed of a particle whose velocity is given by V=V_(0) sin omega t t where T=2pi//omega is the time of complete cycle