If ` y=alpha cos omega t+b sin omegat`, show that it represents SHM. Determine its amplitude.

The displacement of a particle is given by x = 6 cos omega t+8 sin omega t metre This equation respresents a S.H.M. having amplitude _______ .

Show that a linear combination of sine and cosine function like x(t)=a sin omegat+b cos omegat represents a simple harmonic. Also, determine its amplitude and phase constant.

Equations y_(1) =A sinomegat and y_(2) = A/2 sin omegat + A/2 cos omega t represent S.H.M. The ratio of the amplitudes of the two motions is

Equations y_(1) A sinomegat and y_(2) = A/2 sin omegat + A/2 cos omega t represent S.H.M. The ratio of the amplitudes of the two motions is

x = A cos omega t + B sin omega t , the amplitude of this wire is:

The displacement vector of a partical of mass m is given by vecr(t) = hat iA cos omega t + hatj B sin omegat . Show that the trajectory is an ellipse.

The function x = A sin^2 (omega)t + B cos^2 (omega)t + Csin (omega)t cos (omega)t represent (SHM) for which of the option(s).

The function x = A sin^2 (omega)t + B cos^2 (omega)t + Csin (omega)t cos (omega)t represent (SHM) for which of the option(s).