shm and circular motion

• 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?

  omega = $2\pi/T$
• 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 = $mv^2/r$