Question

If an oscillatory motion must be simple harmonic, the restoring force F must obey ------------------ law for small displacements from equilibrium position

Answer 1

Answer on Question #59464-Physics – Mechanics | Relativity

If an oscillatory motion must be simple harmonic, the restoring force F must obey --- law for small displacements from equilibrium position

Answer

If an object exhibits simple harmonic motion, a force must be acting on the object. The force is

$$F = m a = - m \omega^ {2} x.$$

It obeys Hooke's law, $F = -kx$ , with $k = m\omega^2$ .

If an oscillatory motion must be simple harmonic, the restoring force F must obey Hooke's law for small displacements from equilibrium position.

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