Oscillations — Class 12 Maharashtra HSC Physics revision notes
A 6-page visual revision sheet for Oscillations, written for Class 12 Maharashtra HSC Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
A preview of page 1 — all 6 pages open full size in the app.
What this Oscillations sheet covers
periodic motion
simple harmonic motion
Periodic, oscillatory and simple harmonic
The defining condition and its equation
restoring force, always toward the mean position
Newton's second law gives
the differential equation of linear S.H.M.
Displacement, velocity and acceleration
displacement
velocity
acceleration
S.H.M. as a projection of circular motion
The two extremes of a swing
At the mean position, x = 0
At an extreme, x = ±A
Period and frequency
angular frequency, spring-mass system
period, from acceleration per unit displacement
frequency
Springs in combination
in series, same force f on each spring
in parallel, same extension on each spring
Reading the phase
composition of shm
Composition of two S.H.M.s, same period and path
resultant amplitude
resultant phase
Three special cases
in phase, φ_1-φ_2=0
90° out of phase
180° out of phase (opposed)
Energy in S.H.M.
Energy formulas
kinetic energy at displacement x
potential energy at displacement x
total energy, any instant
simple pendulum
Simple pendulum, the numbers
period
angular frequency
Conical pendulum vs simple pendulum
Conical pendulum
Angular S.H.M.
restoring torque, angular displacement theta
differential equation, moment of inertia I
Damped oscillations
Damped oscillation, the equation
equation of motion, spring constant k
the damped angular frequency
resonance
Free oscillations, forced oscillations and resonance
These notes are not a standalone PDF. CapCompass plans Physics chapter by chapter against your real exam dates and free hours, and when the plan reaches Oscillations the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.