Show that for a particle executing S.H.M, velocity and displacement have a phase difference of π/2.

Question

Philoid · Accepted Answer

For S.H.M we can write the S.H.M equation as follows,

----(1)

Where x=displacement

w=angular velocity

t = time

for velocity we differentiate the above equation,

From trigonometric property we know that

∴ ----(2)

Hence comparing equation (1) and (2) we can say velocity and displacement have a phase difference of .