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Formula Sheet: Oscillations Class 11 Physics

Yashwant Parihar, June 11, 2026June 11, 2026

In this post, we will learn the Class 11 Physics oscillation formulas with the help of a formula sheet for JEE/NEET aspirants. This chapter, centring around Simple Harmonic Motion (SHM), bridges the gap between mechanics and wave optics, making it a favourite area for examiners to twist concepts. This post covers everything from basic kinematics equations to damped oscillations, neatly organised for quick scanning.

Oscillations Formula Sheet

Table of Contents

  • Oscillations (SHM) Formula Sheet Class 11
    • 1. Periodic and Oscillatory Motion
    • 2. Linear Simple Harmonic Motion (SHM)
    • 3. Kinematics of SHM
    • 4. Energy in SHM
    • 5. Time Period of Standard SHM Systems
    • 6. Damped and Forced Oscillations

Oscillations (SHM) Formula Sheet Class 11

1. Periodic and Oscillatory Motion

Frequency:

f=1Tf = \frac1T

Angular Frequency:

ω=2πf=2πT\omega = 2 \pi f = \frac {2 \pi}{T}

2. Linear Simple Harmonic Motion (SHM)

Restoring Force:

F=−kxF = -kx

Differential Equation of SHM:

dx2dt2+ω2x=0\frac{dx^2}{dt^2} + \omega^2x = 0

Angular Frequency:

ω=km\omega = \sqrt {\frac km}

3. Kinematics of SHM

Displacement:

x=Asin(ωt+ϕ)x = Asin(\omega t + \phi)

Velocity:

v=dxdt=Aωcos(ωt+ϕ)v = \frac{dx}{dt} = A\omega cos(\omega t + \phi)

Acceleration:

a=dvdt=Aω2sin(ωt+ϕ)a = \frac{dv}{dt} = A\omega ^2 sin(\omega t + \phi)

4. Energy in SHM

Kinetic Energy:

K=12kv2K = \frac12 kv^2

Potential Energy:

U=12kx2U = \frac12 kx^2

Total Energy:

E=K+U=12kA2E = K + U = \frac12 kA^2

5. Time Period of Standard SHM Systems

Simple Pendulum:

T=2πLgT = 2 \pi \sqrt {\frac L g}

Spring-Mass Systems:

T=2πmkT = 2\pi \sqrt{\frac mk}

Series Combination:

1keq=1k1+1k2\frac {1}{k_{eq}} = \frac {1}{k_{1}} +\frac {1}{k_2}

Parallel Combination:

Keq=k1+k2K_{eq} = k_1 + k_2

Physical Pendulum (Rigid Body):

T=2πImgdT = 2 \pi \sqrt{\frac{I}{mgd}}

Torsional Pendulum:

T=2πICT = 2\pi \sqrt{{ \frac{I}{C} }}

6. Damped and Forced Oscillations

Damped SHM Equation:

F=−kx−bvF = -kx -bv
x(t)=Ae−bt2mcos(w′t+ϕ)x(t) = Ae^{-\frac{bt}{2m}} cos (w’t + \phi)

Damped Angular Frequency:

ω′=km−b24m2\omega’ = \sqrt {\frac{k}{m} – \frac{b^2}{4m^2}}

Formula Sheet Physics Formula Sheet Formula SheetPhysics Formula Sheet

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Motion in a Straight Line
Motion in a Plane
Newton's laws of Motions
Work, Energy and Power
Gravitation
Mechanical Properties of Solid
Mechanical Properties of Liquid
Thermal Properties of Matter
Thermodynamics
Kinetic Theory of Gases
Oscillations

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