Simple Harmonic Motion (SHM) is characterized by an acceleration that is directly proportional to the displacement from the equilibrium position and is always directed towards the equilibrium position (a = -ω²x, where x is displacement and ω is angular frequency). The equilibrium position is where the displacement x = 0. At this point, the restoring force and acceleration are zero, representing the minimum magnitude of acceleration. In SHM, the speed of the particle is maximum at the equilibrium position (x=0) and zero at the extreme positions (maximum |x|). Thus, acceleration (minimum at x=0) is minimum when speed (maximum at x=0) is maximum.
A particle is executing simple harmonic motion. Which one of the following statements about the acceleration of the oscillating particle is true ?
Asked in UPSC NDA 2 2016 · Topic: Mechanics (Simple Harmonic Motion and Damped/Forced Oscillations)
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