Oscillation physics formula sheet, Schemes and Mind Maps of Physics

Download Oscillation physics formula sheet and more Schemes and Mind Maps Physics in PDF only on Docsity! Oscillations - Part 01 Time period (T) The time interval after which the motion repeats itself. Periodic Motion Motion that repeats itself in equal intervals of time. v(t) = -ωA cos ( ωt + Φ ) k = mω2F(t) = -kA cos ( ωt + Φ ) a(t) = -ωA2 cos ( ωt + Φ ) ωA = -Velocity Amplitude • SHM is the simplest form of oscillatory motion. • Force on the oscillating body α Displacement from the mean position • Direction of the force is always towards the mean position. Frequency (ν) The number of repetitions per unit time. ν = 1 T v(t) = x(t)d dT a(t) = v(t)d dT f(t) = A sin ωt + B cos ωt f(t) = D sin ( ωt + Φ ) Φ = tan-1 B AD = A2 + B2 Low frequency Oscillatory motion High frequency Vibration Simple Harmonic Motion (SHM) Oscillatory motion Repeated to and fro motion of an object. Velocity & Acceleration in SHM Force acting on a particle executing SHM Represent Periodic function as sine and cosine functions x(t) = A cos ( ωt + Φ ) Φ = Phase constant x(t) = Displacement A = Amplitude ω = Angular frequency = π 4 SHM is represented by the equation π 2Velocity lags displacement by a phase angle of . Acceleration lags displacement by a phase angle of π. ωt + Φ y ωA ωt + Φ v(t)O P’ P T +A x -A 0 +ωA -ωA 0 +ω2A -ω2A A cc el er at io n Ve lo ci ty D is pl ac em en t 0 (a) (b) (c) t t t π 4Φ = - Φ = 0 4 3 +A -A 0 D is pl ac em en t t