Question

If the displacement equation of a particle be represented by $y = A\sin PT + B\cos PT$, the particle executes

• A. A uniform circular motion
• B. A uniform elliptical motion
• C. A S.H.M.
• D. A rectilinear motion

Answer 1

Answer: (C)

A S.H.M.

Answer 2

$y = A\sin PT + B\cos PT$

Let $A = r\cos\theta,$ $B = r\sin\theta$

$\Rightarrow y = r\sin(PT + \theta)$ which is the equation of SHM.