Two simple harmonic motions as shown below are at right angles .They are comibined to form Lissajous figures
`x(t)=A sin (at+delta)`
`y(t)=B sin (bt)`
Identify the correct match below

The epoch of a simple harmonic motion represented by x = sqrt(3)sin omegat + cos omega t m is

A simple harmonic motion is represented by F(t)=10sin(20t+0.5) . The amplitude of the S.H.M. is

Consider two simple harmonic motion along x and y- axis having same frequencies but different amplitudes as x=A sin (omega t+varphi) (along x axis) and y= B sin omega t ( along y axis). then show that (x^(2))/(A^(2))+(y^(2))/(B^(2))-(2xy)/(AB) cos varphi = sin^(2) varphi and also discuss the special cases when varphi=(pi)/(2) and A=B Note : when a particle is subjected to two simple harmonic motion at right angle to each other the particle may move along different paths.

Consider two simple harmonic motion along x and y- axis having same frequencies but different amplitudes as x=A sin (omega t+varphi) (along x axis) and y= B sin omega t ( along y axis). then show that (x^(2))/(A^(2))+(y^(2))/(B^(2))-(2xy)/(AB) cos varphi = sin^(2) varphi and also discuss the special cases when varphi=(pi)/(2) Note : when a particle is subjected to two simple harmonic motion at right angle to each other the particle may move along different paths.