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What is mean by harmonics in SHM?
Simple harmonic motion is a type of periodic motion where an object oscillates back and forth around an equilibrium point due to a restoring force that is directly proportional to the displacement from the equilibrium point.
Some common examples of simple harmonic motion include a pendulum, a mass-spring system, and the motion of a mass on a horizontal spring.
Simple harmonic motion is directly related to Hooke's Law, which states that the force exerted by a spring is directly proportional to the distance the spring is stretched or compressed from its equilibrium position. This relationship is expressed mathematically as F = -kx, where F is the force, k is the spring constant, and x is the displacement from equilibrium.
The period of a simple harmonic motion is the time it takes for one complete oscillation or cycle. It is related to the frequency by the equation T = 1/f, where T is the period and f is the frequency.
The amplitude of simple harmonic motion is the maximum displacement from the equilibrium point. It directly affects the velocity and acceleration of the object, with larger amplitudes resulting in higher velocities and accelerations. However, the period and frequency of the motion remain unchanged by the amplitude.