Question

In the given figure, for small displacement of particle of mass $m$ along $y$ -axis, the motion of the particle is: (a) simple harmonic (b) motion with constant acceleration (c) non-oscillatory (d) none of the above

Name: Problem 16, Chapter 9: Arihant AIEEE Physics
Uploaded: 2021-09-09T07:44:12-08:00
Duration: 1 min 10 s
Channel: Ajay Singhal
Description: In the given figure, for small displacement of particle of mass m along y -axis, the motion of the particle is: (a) simple harmonic (b) motion with constant acceleration (c) non-oscillatory (d) none of the above

   In the given figure, for small displacement of particle of mass $m$ along $y$ -axis, the motion of the particle is:
(a) simple harmonic
(b) motion with constant acceleration
(c) non-oscillatory
(d) none of the above

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 9, Problem 16

Instant Answer

Solved by Expert Ajay Singhal

09/09/2021

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The gravitational forces due to the two masses $m$ will act on the particle. Show more…

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In the given figure, for small displacement of particle of mass $m$ along $y$ -axis, the motion of the particle is: (a) simple harmonic (b) motion with constant acceleration (c) non-oscillatory (d) none of the above

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Key Concepts

Simple Harmonic Motion

A type of periodic motion where the restoring force is directly proportional to the displacement and acts in the opposite direction, resulting in sinusoidal oscillations with a constant natural frequency.

Small Oscillations Approximation

For displacements that are small relative to the equilibrium, the potential energy can be expanded as a Taylor series around the equilibrium position, and the first non-zero term becomes quadratic. This approximation simplifies the dynamics to that of a simple harmonic oscillator.

Restoring Force

The concept that any displacement from the equilibrium position generates a force that tends to bring the system back to equilibrium, typically modeled as being linear with respect to the displacement in simple harmonic motion.

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