Explain by drawing graphs of displacement x(t) to t, velocity v(t) to t and acceleration a(t) to t of SHM for initial phase zero.

Explain by drawing graphs of displacement x(t) to t, velocity v(t) to

1.	Explain by drawing graphs of displacement x(t) to t, velocity v(t) to t and acceleration a(t) to t of SHM for initial phase zero.
Answer» SOLUTION :The following graphs of the displacement `x(t) = A cos omega t`, velocity `v(t)= -A omega sin omega t` and acceleration `a(t)= -A omega cos omega t` versus TIME t of SHM for initial phase zero are shown in figures. These graphs of displacement, velocity and acceleration of a particle in simple harmonic motion have the same period T, but they differ in phase. All the quantities CHANGE periodically with time according to sine. In this graphs for all three quantities have their maxima differ and differ in phase. x VARIES between `-A" to "+A, v(t)` varies from `-A omega" to "A omega" and "a(t)` from `-A omega^(2)" to "+A omega^(2)`. With respect to displacement plot, velocity plot has a phase DIFFERENCE of `(pi)/(2)` and acceleration plot has a phase difference of `pi`.