Velocity and Acceleration in Simple Harmonic Motion MCQ

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• A particle in uniform circular motion is projected on its diameter. The motion of projection will be simple harmonic. Select the correct option regarding speed and acceleration of the particle in circular motion.
  ক

  Speed is constant, acceleration is zero

  খ

  Speed is constant, acceleration is non-zero

  গ

  Speed changes, acceleration is non-zero

  ঘ

  Speed changes, acceleration is zero
• A particle is undergoing a SHM of amplitude 10cm. What should be the minimum value of acceleration at an extreme position for maximum speed at centre to be 5m/s?
  ক

  20m/s2

  খ

  5m/s2

  গ

  0

  ঘ

  250m/s2
• A particle of mass m starts from the mean position of a SHM, at t=0, and goes towards -A. If the angular frequency of SHM is w, find the force acting on it as a function of time.
  ক

  mAw2sin(wt)

  খ

  mAw2sin(wt+π)

  গ

  -mAw2cos(wt+π)

  ঘ

  -mAw2cos(wt)
• In a SHM, for what value of w, will the magnitude of maximum acceleration be greater than the magnitude of maximum velocity? Here, w is angular frequency.
  ক

  w > 1

  খ

  w < 1

  গ

  w = 0

  ঘ

  Not possible for any value of w
• A particle is executing SHM and currently going towards the amplitude. If it is at A/2, what is the relation between the direction of velocity and acceleration?
  ক

  Both vectors point towards the amplitude

  খ

  Velocity is towards amplitude & acceleration is towards mean position

  গ

  Velocity is towards mean position & acceleration is towards the amplitude

  ঘ

  Both vectors point towards the mean position