A particle executes simple harmonic motion. The amplitude of...

A particle executes simple harmonic motion. The amplitude of vibration of particle is $2 \mathrm{~cm}$. The displacement of particle in one time period is :
(a) $1 \mathrm{~cm}$
(b) $2 \mathrm{~cm}$
(c) $4 \mathrm{~cm}$
(d) zero

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Key Concepts

Simple Harmonic Motion

Simple Harmonic Motion (SHM) refers to a type of periodic motion where the restoring force acting on an object is directly proportional to its displacement from an equilibrium position and acts in the opposite direction. This results in oscillatory motion that is sinusoidal in time and demonstrates consistent, repeating cycles.

Amplitude

Amplitude in the context of SHM is the maximum displacement of the oscillating object from its equilibrium position. It represents the peak value of the oscillation and is a key determinant of the energy in the system, although it does not affect the period of the motion.

Time Period

The time period of an oscillating system is the time taken to complete one full cycle of motion. In SHM, the object returns to the same state and position after one period, which makes the motion repetitive and predictable.

Displacement in Oscillatory Motion

Displacement is a vector quantity describing the change in position from the starting point to the endpoint. In oscillatory motion such as SHM, over one complete period, the object ends up at the same position where it started, which means the net displacement over a complete cycle is zero.

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