Applied Mechanics

Q1: A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses

A maximum kinetic energy and minimum potential energy

B maximum kinetic energy and maximum potential energy

C minimum kinetic energy and maximum potential energy

D minimum kinetic, energy and minimum potential energy

E none of these.

ANS:A - maximum kinetic energy and minimum potential energy

  1. At the mean position: This is the central point of the oscillation where the displacement is zero. At this point, all the energy is in the form of kinetic energy. The potential energy is at its minimum because the displacement from the equilibrium position is zero. As the particle passes through the mean position, it has maximum velocity, which corresponds to maximum kinetic energy.
  2. Potential energy: Potential energy in a simple harmonic motion varies with the displacement from the equilibrium position. At the mean position, the displacement is zero, resulting in the minimum potential energy.
  3. Kinetic energy: Kinetic energy varies with the square of the velocity. At the mean position, the velocity is maximum, leading to maximum kinetic energy.



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