Simple Harmonic...

The equation of motion of a particle is  where K is positive constant. The time period of the motion is given by

A simple harmonic wave having an amplitude a and time period T is represented by the equation y = 5 sinπ(t+4)m Then the value of amplitude (a) in (m) and time period  (T) in second are   

The period of a simple pendulum measured inside a stationary lift is found to be T. If the lift starts accelerating upwards with acceleration of g/3 then the time period of the pendulum is

The time period of a simple pendulum of length L as measured in an elevator descending with acceleration g/3 is

If a body is released into a tunnel dug across the diameter of earth, it executes simple harmonic motion with time period

If the displacement equation of a particle be represented by y = Asin Pt + B cos Pt, the particle executes

The displacement of a particle varies according to the relation x = 4(cosπt + sinπt). The amplitude of the particle is

A S.H.M. is represented by x = 5√2 (sin 2πt + cos 2πt). The amplitude of the S.H.M. is

The displacement of a particle varies with time as x = 12 sin wt − 16 sin³ wt (in cm). If its motion is S.H.M., then its maximum acceleration is -

A particle of mass m is executing oscillations about the origin on the x-axis. Its potential energy is U (x) = k [x]³ , where k is a positive constant. If the amplitude of oscillation is a, then its time period T is -