The motion of a particle is described by `9(d^(2)x)/(dt^(2))+25x=80` where x is displacement and t is time. Angular frequency of small oscillations of the particle

The equation of motion of a particle of mass 1g is (d^(2)x)/(dt^(2)) + pi^(2)x = 0 , where x is displacement (in m) from mean position. The frequency of oscillation is (in Hz)

Differential equation for a particle performing linear SHM is given by (d^(2)x)/(dt^(2))+3xx=0 , where x is the displacement of the particle. The frequency of oscillatory motion is

The equation of SHM of a particle is given as 2(d^(2)x)/(dt^(2))+32x=0 where x is the displacement from the mean position. The period of its oscillation ( in seconds) is -

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The particle

It is given that t= px^(2) + qx , where x is displacement and t is time. The acceleration of particle at origin is

The position of a particle is given by x=2(t-t^(2)) where t is expressed in seconds and x is in metre. The acceleration of the particle is

The angular frequency of motion whose equation is 4(d^(2)y)/(dt^(2))+9y=0 is (y="displacement and " t="time")

The motion of a particle executing SHM in one dimension is described by x = -0.5 sin(2 t + pi//4) where x is in meters and t in seconds. The frequency of oscillation in Hz is

The vertical motion of a ship at sea is described by the equation (d^(x))/(dt^(2))=-4x , where x is the vertical height of the ship (in meter) above its mean position. If it oscillates through a height of 1 m

The motion of a particle along a straight line is described by the function x=(2t -3)^2, where x is in metres and t is in seconds. Find (a) the position, velocity and acceleration at t=2 s. (b) the velocity of the particle at the origin .