Two linear harmonic motions of equal amplitudes and frequencies `omega` and 2 `omega` imposed on a particle along the axes of x and y respectively. If the initial phase difference between them is `pi//2`, then find the resultant path followed by the particle.

Two linear SHM of equal amplitudes A and frequencies omega and 2omega are impressed on a particle along x and y - axes respectively. If the initial phase difference between them is pi//2 . Find the resultant path followed by the particle.

Two linear simple harmonic motions of equal amplitude and frequency are impressed on a particle along x and y axis respectively. The initial phase difference between them is pi/2 . The resultant path followed by the particle is

Two simple harmonic motions y_1=Asinomegat and y_2=Acosomegat are supre imposed on a particle of mass m.

The maximum seperation between two particles executing simple harmonic motion of the equal amplitude and same frequency along the same straight line and about the same mean position, is sqrt(3) times the amplitude of oscillation. IF the phase difference between them is phi , determine 2pi//phi .

Two simple harmonic motions with the same frequency act on a particle at right angles i.e., along X-axis and Y-axis. If the two amplitudes are equal and the phase difference is pi//2 , the resultant motion will be

Two simple harmonic motions y_(1) = Asinomegat and y_(2) = Acos omega t are superimposed on a particle of mass m. The total mechanical energy of the particle is

A particle executing simple harmonic motion with an amplitude A and angularr frequency omega . The ratio of maximum acceleration to the maximum velocity of the particle is

Two particles perform linear simple harmonic motion along the same path of length 2 A and period T as shown in the graph below. The phase difference between them is

A particle is subjected to two simple hasrmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motions, find the phase difference between the individual motions.