1.

Velocity and displacement of a body executing S.H.M. are out of phase by π/2. Why?

Answer»

Let displacement on y-axis is given by

y = asin ωt

Where a is the amplitude, ω is the angular velocity and  t is the instantaneous time.

Then velocity is given by

v = \(\frac{dy}{dt}\) = aω cos aω = aω sin ( \(\frac{\pi}{2}\) + aω)

The above equation clearly show that displacement and velocity of a body executing S.H.M. are out of phase by \(\frac{\pi}{2}\).



Discussion

No Comment Found

Related InterviewSolutions