Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial `(t = 0)` position of the particle, the radius of the circle, and the angular speed of the rotating particle .For simplicity , the sense of rotation may be fixed to be anticlockwise in everycase : (x is in cm and t is in s)
`x = 2 cos (pi) t`

Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial (t = 0) position of the particle, the radius of the circle, and the angular speed of the rotating particle .For simplicity , the sense of rotation may be fixed to be anticlockwise in everycase : (x is in cm and t is in s) x = cos [ pi /6 -t)

Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial (t = 0) position of the particle, the radius of the circle, and the angular speed of the rotating particle .For simplicity , the sense of rotation may be fixed to be anticlockwise in everycase : (x is in cm and t is in s) x= 3sin [2(pi) t + (pi)/4]

Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial (t = 0) position of the particle, the radius of the circle, and the angular speed of the rotating particle .For simplicity , the sense of rotation may be fixed to be anticlockwise in everycase : (x is in cm and t is in s) x = -2 sin [ 3t + (pi)/3]

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 4/3 s is

A partilce is executive simple harmonic motion given by x=5sin(4t-pi/6) The velocity of the particle when its displacement is 3 units is

The equation of linear simple harmonic motion is x = 8 cos (12pit) where x is in cm and t is in second. The initial phase angle is

The tangential velocity of a particle making p rotations along a circle of radius pi in t seconds is

A simple pendulum performs simple harmonic motion about x=0 with an amplitude a ans time period T. The speed of the pendulum at x = (a)/(2) will be

The equation of a simple harmonic progressive wave is y = 4 sin 2 (pi) [ t / 0.002 - x /35] where x and y are in cm and t in second . Calculate period of the wave

A particle is acted simultaneously by mutually perpendicular simple harmonic motions x = a cos omega t and y = a sin omega t . The trajectory of motion of the particle will be