MCQ
If the displacement equation of a particle be represented by $y = A\sin PT + B\cos PT$, the particle executes
- AA uniform circular motion
- BA uniform elliptical motion
- ✓A S.H.M.
- DA rectilinear motion
✓
Answer
Correct option: C.
A S.H.M.
c
(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 $SHM.$
(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 $SHM.$
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