The motion of a particle in `SHM` of

The motion of a particle in S.H.M. is described by the displacement function, x=Acos(omegat+phi) , If the initial (t=0) position of the particle is 1cm and its initial velocity is omega cm s^(-1) , what are its amplitude and initial phase angle ? The angular frequency of the particle is pis^(-1) . If instead of the cosine function, we choose the sine function to describe the SHM : x=B sin(omegat+alpha) , what are the amplitude and initial phase of the particle with the above initial conditions ?

The motion of a particle in S.H.M. is described by the displacement function, x=Acos(omegat+phi) , If the initial (t=0) position of the particle is 1cm and its initial velocity is omega cm s^(-1) , what are its amplitude and initial phase angle ? The angular frequency of the particle is pis^(-1) . If instead of the cosine function, we choos the sine function to describe the SHM : x=B sin(omegat+alpha) , what are the amlitude and intial phase of the particle with the above intial conditions ?

The equation of motion of a particle in SHM is a +16 pi^(2)x = 0 . Here 'a' is linear acceleration of the particle at displacement x (a,x are in SI) . Its time period is

The equation of motion of a particle in SHM is a +4x = 0 . Here 'a' is linear acceleration of the particle at displacement 'x' in metre. Its time period is

The equation motion of a particle in S.H.M. is a + 16 p^(2)x = 0 . In the equation .a. is the linear acceleration (in m//sec^(2) ) of the particle at a displacement .x. in meter. The time period of S H M in seconds is

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

A particular moving in a straight line has velocity v give by v^(2)=alpha-betay^(2) where alpha and beta are constant and y is its distance from a fixed point in the line . Show that the motion of the particle is SHM . Find its time period and amplitude.