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 = 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= 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 0,5 kg mass is rotated in a horizontal circle of radius 20 cm. Calculate the centripetal force acting on it , if its angular speed of rotation is 0.6 rad/s .

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

A particle executing simple harmonic motion has amplitude of 10 centimeter and time period 4 second. At t = 0. x = 5 going towards positive x direction. Then the equation for the displacement x at time t