Simple Harmonic Motion — Chapter Summary
NIOS · Class 12 · Physics
Summary of Simple Harmonic Motion for NIOS Class 12 Physics. Part of the NIOS Class 12 Physics syllabus. Simple Harmonic Motion (SHM) is one of the most.
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Overview
Simple Harmonic Motion (SHM) is one of the most fundamental and beautiful concepts in Physics. It describes the to-and-fro motion of objects like a pendulum bob, a mass on a spring, or even atoms vibrating in a molecule. In our daily life, we encounter periodic motion everywhere – the beating of our
Key Concepts
A motion that repeats itself after
A motion that repeats itself after a fixed interval of time is called periodic motion. The fixed time interval after which the motion repeats is calle
A particle executes SHM if it
A particle executes SHM if it moves to and fro about a fixed mean position under a restoring force F that is: (a) Directly proportional to its displac
SHM can be elegantly visualized as
SHM can be elegantly visualized as the projection of uniform circular motion on a diameter. Consider a point M moving with constant speed v in a circl
1
1. Displacement (y): Distance of the oscillator from the mean position at any instant. 2. Amplitude (a): Maximum displacement from mean position. Unit
HORIZONTAL
HORIZONTAL: A block of mass m attached to a spring of force constant k on a smooth surface. When displaced by x, restoring force = kx toward mean posi
Learning Objectives
- Understand the difference between periodic motion and oscillatory motion with examples
- Define Simple Harmonic Motion and represent it mathematically using sine and cosine functions
- Represent SHM as the projection of uniform circular motion on a diameter (Circle of Reference)
- Derive and apply expressions for time period of a spring-mass system and a simple pendulum
- Derive expressions for kinetic energy, potential energy, and total energy of a SHM oscillator
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