Further mechanics

• Forced Vibration is when there's an external driving force that causes the object to vibrate.
• Free vibration involves no transfer of energy to or from the surrounding.
• The driving frequency is the frequency of the driving or external force.
• Resonance occurs when the natural frequency of the system matches the driving frequency, resulting in amplified oscillations.
• Damping reduces the amplitude of oscillations over time by dissipating energy through friction or other means.
• Damping is when oscillating system loose their energy to their surroundings
• Light damping takes a longer time to stop oscillations.
• Heavy damping takes shorter time to stop oscillation.
• An object in circular motion has linear velocity.
• The centripetal force is the resultant force of an object moving in circular motion, acting towards the centre of the circle.
• Centripetal Force

  The resultant force of an object moving in circular motion, which is always acting towards the centre of the circle.
• The centripetal acceleration is the acceleration of an object moving in circular motion, acting towards the centre of the circle.
• Centripetal acceleration


  Acceleration of an object moving in circular motion, towards the centre of the earth.
• The angular velocity is the vector quantity of displacement of an object moving in circular motion per unit time.
• Angular velocity


  The vector quantity of the displacement per unit time of an object moving in circular motion.
• An object experiences simple harmonic motion, when the the acceleration is directly proportional to the displacement and in the opposite direction.
• Simple Harmonic Motion


  When the acceleration of an object is directly proportional to the displacement, in the opposite direction. $a =$$-w^2x$
• The restoring force is the force applied on an object in SHM to restore it to equilibrium position.
• Restoring force


  Force applied on an object in SHM to restore it back to its equilibrium position.
• Simple harmonic system is an object that oscillates in simple harmonic motion.
• Simple Harmonic System


  An object that oscillates in simple harmonic motion.
• Free vibration is when no external force is applied on a system causing it to be oscillate in its natural frequency.
• Free vibration


  When no external force is applied on an object, causing it to oscillate in its natural frequency,
• Amplitude is the maximum displacement from the equilibrium point.
• Amplitude


  Maximum displacement from the equilibrium position.