Simple Harmonic Motion Flashcards
For a system to be simple harmonic, what equation concerning acceleration must it satisfy?
a = -(ω^2)x
What is the maximum velocity of and object moving with SHM?
Vmax = ωA where A is maximum displacement from the equilibrium position (amplitude).
Describe an acceleration vs displacement graph of an object moving with SHM.
It traces a straight line with gradient -ω^2 (negative).
What do the displace, velocity and acceleration Vs time graphs of an object moving with SHM look like?
They are all sine/cosines waves.
What equation describes the time period for a simple pendulum?
T = 2π√l/g
What equation describes the time period of a mass-spring system?
T = 2π√m/k
Describe the energy-displacement graph of a particle moving with SHM.
Often the particle possesses two types of energy, both of which trace a parabolic curve, with one being maximum and the other being minimum at zero displacement.
What is the condition for SHM?
An oscillation in which the acceleration of an object is directly proportional to its displacement from an equilibrium position, and this acceleration is always directed towards this equilibrium.
