If the particle starts its motion from mean position, the phase difference between displacement and accelerati

Question 64 of 82

Q. If the particle starts its motion from mean position, the phase difference between displacement and acceleration is ____.

(a)

2\pi

rad

(b)

\pi/2

rad

(c)

\pi

rad

(d)

\pi/4

rad

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2018MCQ· 1mImportance★★★★★

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In SHM, $a = -\omega^2 x$ , so acceleration and displacement are always antiparallel — a phase difference of $\pi$ radians, regardless of the starting point of the motion.

For a particle performing linear SHM starting from the mean position, displacement is $x = A\sin(\omega t)$ . Its acceleration is $a = \dfrac{d^2x}{dt^2} = -A\omega^2\sin(\omega t) = -\omega^2 x$ .

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Q.If the particle starts its motion from mean position, the phase difference between displacement and acceleration is ____.

Concept understanding — Phase in SHM

Q.If the particle starts its motion from mean position, the phase difference between displacement and acceleration is ____.

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