If the angular speed of a particle in UCM is `20 `π rad/s ` ,what is the period of UCM of the particle?

What is the angular velocity of a particle lying on the axis of rotation ?

What is the angular velocity of a particle lying on the axis of rotation ?

The position and velocity of a particle executing simple harmonic motion at t = 0 are given by 3 cm and 8 cm s^(-1) respectively . If the angular frequency of the particle is 2 "rad s" ^(-1) , then the amplitude of oscillation (in cm) is

The speed-time graph of a particle moving along a fixed direction is shown in the Fig. The distance traversed by the particle between (a) t=0 s to 10 s . . what is the average speed of the particle over the intervals?

The speeds of ten particles are ( in m//s ) 6.00, 5.00, 8.00, 10.0, 10.0, 14.0, 14.0, 18.0, and 20.0 m//s (i) What is the average speed, (ii) What is the rms speed and (iii) What is the most probable speed of the particles?

A particle that hangs from a spring oscillates with an angular frequency of 2 rad//s . The spring particle system is suspended from the celling of an elevator car and hangs motionless (relative to the elevator car) as the car descends at a constant speed of 1.5 m//s . The car then stops suddenly. (a) With what amplitude does the particle oscillate ? (b) What is the equation of motion for the particle ? (Choose upward as the position direction)

A particle is travelling in a circular path of radius 4m. At a certain instant the particle is moving at 20m/s and its acceleration is at an angle of 37^(@) from the direction to the centre of the circle as seen from the particle (i) At what rate is the speed of the particle increasing? (ii) What is the magnitude of the acceleration?

The small particle of mass m is given an initial high velocity in the horizontal plane and winds its cord around the fixed vertical shaft of radius 1m . All motion occurs essentially in the horizontal plane. If the angular velocity of the cord is 0.8 rad/s when the distance from the particle to the tangency point is 5m , determine the angular velocity omega (in rad//s) of the cord after it has turned through an angle 1 rad.

A particle is moving around a circular path with uniform angular speed (x) . The radius of the circular path is (r). The acceleration of the particle is:

A wave travelling on a string at a speed of 10 ms^-1 causes each particle of the string to oscillate with a time period of 20 ms. (a) What is the wavelength of the wave ? (b) If the displacement of a particle is 1.5 mm at a certain instant, what will be the displacement of a particle 10 cm away from it at the same instant ?