“ If the acceleration of a body is directly proportional to the distance from a fixed point, and is always directed toward that point, then the motion is simple harmonic”
a - x or
a = -(+ve constant) x
Many mechanical oscillations are nearly simple harmonic, especially at small amplitudes
Any system obeying Hooke’s law will exhibit SHM when vibrating
Since (2 f ) 2 or 2 is a +ve constant, equation states that acceleration of the bob towards the equilibrium point O is proportional to the displacement x from O
The acceleration is zero at O and maximum when the bob is at the limits of its motion when the direction and motion changes
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