SHM


SHMRestoring Force F = - Kx. 

  • Time period T = 
  • Displacement

    Y = a sin t = a sin a sin 2nt = a sin 
  • Velocity v = a 
  • Acceleration

    a = 

    amax = 2 a

    amin = 0
  • Force F = m2 a sin t = m2y
  • Potentia energy

    u = 

    vmax = 

    vmin = 0
  • Kinetic energy

    K = 

    Kmax = 

    Kmin = 0
  • Total energy E = 
  • Uaverage = 
  • Kaverage = 




  • Oscillation of spring combination


  • Time period of series combination

    T = 2 
  • Time period of parallel combination

    T = 2
  • If body connected to a spring rolls then the time period

    T = 2



    Simple pendulum


  • Differential equation


  • Time period

    Tg = 2
  • Effect of g

     
  • Effect of temperature


  • Oscillation of pendulum in liquid



    Where geff = g 
  • Oscillation under the influence of electric field. If electric field directed vertically upwards

    T = 
  • If electric field directed downwards . the

    T = 
  • Pendulum in lift

    If lift is at rest

    T = 

    If lift is moving upwards

    T = 

    If lift is moving downwards

    T = 
  • Pendulum in an accelerated vehicle

    T = and  = tan-1 (a/g)

    If simple pendulum suspended in car that is moving with constant speed v around a circle of rading r

    T = 

  • Compound pendulum

    T = 




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