Q. 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
Explanation
(c) $y = A\sin{PT} + B\cos{PT}$
Let$\ A = r\cos\theta,B = r\sin\theta$
$\Rightarrow y = r\sin{(PT + \theta)}$ which is the equation of SHM
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.