First slide

Simple harmonic motion

Question

If the displacement equation of a particle be represented by $y = AsinPT + BcosPT$ , the particle executes

Moderate

A

A uniform circular motion
B

A uniform elliptical motion
C

A S.H.M.
D

A rectilinear motion

Solution

$y = AsinPT + BcosPT$
Let $A = rcosθ,$ $B = rsinθ$
$\Rightarrow y = rsin (PT + θ)$ which is the equation of SHM.

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