Oscillations

• SHM:

  $a∝-x$

  $a=$$-w^2x$
• 
  

  • DISPLACEMENT:

  $Y=$$rsinθ$

  $y=$$rsinwt$
• VELOCITY:

  $V=$$V0coswt$

  $V=$$rwcoswt$
• ACCELERATION:

  $a=$$-w^2rsinwt$
• On velocity v/s displacent graph:

  $V=$$+$$-w √xX0^2-X^2$
• RECALL:

  1. at displacement =max , V =0 , acc = -max
  2. at displacement =0 , V=+-max , acc =0
  3. at displacement =-max , V=0 ,acc = max
• Energy on graph:

  • kinetic energy = n shape
  • potential energy = u shape
  • total energy = horizontal straight line

  At max ke or max pe:

  $1/2 mV^2max$

  $1/2mr^2w^2$