Question map
Which one of the following statements regarding motion is correct ?
Explanation
Periodic motion is defined as any motion that repeats itself at regular intervals of time. Simple Harmonic Motion (SHM) is a specific, special type of periodic motion characterized by a restoring force that is directly proportional to the displacement from an equilibrium position. Mathematically, SHM is described by sinusoidal functions, which are inherently periodic. Therefore, while all simple harmonic motions are necessarily periodic, the converse is not true; many periodic motions, such as the uniform circular motion of a clock's hand or planetary orbits, do not satisfy the specific force requirements of SHM [1]. The relationship between SHM and periodicity is fundamental and does not depend on the mass of the object, although mass may influence the specific time period of the oscillation.
Sources
- [1] https://www.sciencedirect.com/topics/physics-and-astronomy/oscillation