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Formula Sheets / Physics

Chapter 16

Oscillations

Revise with flashcards Download this chapter (PDF) All Physics formulas (PDF)

Simple harmonic motion Energy in SHM Springs and pendulums

Simple harmonic motion

$x = A sin (ω t + ϕ),$ $a = - ω^{2} x,$ $v = ω A^{2} - x^{2}$
$ω = \frac{2 π}{T},$ $v_{m a x} = A ω,$ $a_{m a x} = A ω^{2}$

Energy in SHM

$K = \frac{1}{2} m ω^{2} (A^{2} - x^{2}),$ $U = \frac{1}{2} m ω^{2} x^{2},$ $E = \frac{1}{2} m ω^{2} A^{2}$

Springs and pendulums

Spring
$T = 2 π \frac{m}{k};$ series $\frac{1}{k} = \frac{1}{k _{1}} + \frac{1}{k _{2}};$ parallel $k = k_{1} + k_{2}$
Simple pendulum
$T = 2 π \frac{l}{g};$ in a lift $g \to g \pm a$
Physical pendulum
$T = 2 π \frac{I}{m g d}$
Two-body spring
$T = 2 π \frac{μ}{k},$ $μ = \frac{m _{1} m _{2}}{m _{1} + m _{2}}$
Liquid in U-tube
$T = 2 π \frac{L}{2 g} (L =$ total liquid length $)$

Kinetic Theory of Gases Waves and Sound