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

If the displacement of a moving point at any time is givenby an equation of the form y (t) = a cos omega t + b sin omega t , shown that the motion is simple harmonic . If a = 3 m, b = 4m and omega = 2 : determine the period , amplitude, maximum velocity and maximum acceleration.

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

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).

If dispolacement x at time t is x=a cos omega t -b sin omegat , where omega is a constant, then: acceleration=

Equations y = 2 A cos^(2)omega t and y = A (sin omegat + sqrt(3) cosomegat) represent the motion of two particles.

The linear displacement (y) of a particle varies with time as y = (a sin omega t + b cos omega t) . State whether the particle is executing SHM or not.