Show that the equation `x=acos^(2)omegat` represents a simple harmonic motion. Find the (i) amplitude, (ii) time period and (iii) position of equilibrium of the particle.

Show that the equation x =acos^2omegat represents a simple harmonic motion. Find the:- amplitude.

Show that the equation x=Asinomegat represents a simple harmonic motion.

Show that the equation x=asinomegat+bcosomegat represents a simple harmonic motion.

Show that the equation x- a sin omegat + b cos omegat represents a simple harmonic motion.

If the equation x=asinomegat represents a simple harmonic motion of a particle, then its initial position is

Show that the equation x=Acos(omegat-alpha) is a mathematical representation of simple harmonic motion. Find the time period and the maximum speed of the motion.

Show that the equation x=Asin(omegat-alpha) is the mathematical representation of a simple harmonic motion. Find the time period and the maximum acceleration of the motion.

The equation x=(sint+cost) cm represents a simple harmonic motion along x-axis. Determine the amplitude, time period maximum velocity and maximum acceleration for the motion.

The equation x=(sqrt3sinpit+cospit) cm represents a simple harmonic motion x-axis. Determine the amplitude, time period, maximum velocity and maximum acceleration for the motion.

Equation of a simple harmonic motion is y=2sin(4t+pi/6) . Find out its period and initial phase.