shm and circular motion

Created by

Jack Sims

Cards (24)

a = v^2 / r
where a is centripetal acceleration.
a = (omega)^2 x r

where a is centripetal acceleration
F = m x v^2 / r
where F = centripetal force
F = m x r x (omega)^2
where F = centripetal force
Centripetal force is the force which acts perpendicular to the direction of the velocity, towards the centre of the circle.
What are the two conditions required for an object to oscillate with SHM?
The restoring force is proportional to displacement
What is the second condition for SHM oscillation?
The restoring force acts towards equilibrium
What does angular frequency measure?
It measures the rate of rotation of an object
What is one equation for angular frequency?
⍵ = $2\pi/T$
What is another equation for angular frequency?
⍵ = $2\pi f$
What are the two types of oscillations an object can experience?
Free oscillations and forced oscillations
What is the frequency of a freely oscillating object equal to?
It vibrates at its natural frequency
What happens to an object undergoing resonance?
It oscillates at maximum amplitude
What is resonance?
Amplitude increases due to energy from driving force
When does resonance occur?
When driving frequency equals natural frequency
What are the three types of damping?
Light damping, critical damping, heavy damping
What is damping?
Energy loss from an oscillating system
What is the equation for total energy stored in a simple harmonic oscillator?
Energy stored = $1/2 kA^2$
What does the variable k represent in the energy equation?
k is the spring constant
What is critical damping?
Returns to equilibrium without oscillating
What can be said about the acceleration of an object in circular motion?
Acceleration always acts towards the center
What is the name of the force causing circular motion?
Centripetal Force
What is the equation involving angular velocity for centripetal force?
F = $mr\omega^2$
What is the equation involving linear velocity for centripetal force?
F = $mv^2/r$