oscillations Flashcards
describe simple harmonic motion (SHM)
-object oscillates either side of an equilibrium point
-a restoring force is always acting on the object in the direction of the equilibrium point
-the force is proportional to the displacement, which also means the object has an acceleration proportional to the displacement
SHM equations
F=-kx
a=-xw^2
angular velocity equations
spring oscillators
a mass on a string oscillating by SHM
spring oscillator time period equation
T=2πroot m/k
what are spring oscillator’s time periods unaffected by
gravity and displacement
pendulum oscillators
a mass on a string oscillating with simple harmonic motion
pendulum oscillator time period
T=2πroot l/g
what is a pendulums time period unaffected by
mass and displacement
what is the gradient of a displacement time graph
velocity
what is the gradient of a velocity time graph
acceleration
what is energy transferred between during SHM
kinetic energy and potential energy
potential energy max during SHM
during the maximum displacement and negative displacement
where is kinetic energy max in SHM
at the point of equilibrium, where the displacement is 0
what is the sum of the kinetic and potential energy in SHM equal to
the total energy in the system
what is damping
where energy is transferred out of a system