What is the values of oscillation-amplitude and frequency f the particle executing S.H.M. from equation y=r `sin omegat`?

What is relation between acceleration and displacement of a particle executing S.H.M?

The instantaneous acceleration of a particle executign S.H.M. Given by y = a sin omegat , is

Velocity and displacement of a particle executing S.H.M. are out of phase by pi/2 . Explain why?

The displacement of a particle is represented by the equation y = sin^3 omegat . The motion is

What is the basic condition for teh motion of a particle to be S.H.M.?

When the potential energy of a particle executive S.H.M. is one-fourth of the maximum value during the oscillation, its displacement from the equilibrium position in terms of its amplitude a is

The motion of a particle executing simple harmonic motion is described by the displacement function, x(t) = A cos (omegat + phi) . If the initial (t = 0) position of the particle is 1 cm and its initial velocity is omega cm//s , what are its amplitude and initial phase angle ? The angular frequency of the particle is pi s^-1 s If instead of the cosine function, we choose the sine function to describe the SHM : x= B sin (omegat+alpha) , what are the amplitude and initial phase of the particle with the above initial conditions.