Conservation of energy applies to simple harmonic motion.
An object held at its highest point (maximum displacement) will have reached its maximum potential energy, and its kinetic energy will be zero due to having no velocity.
As the object moves towards its equilibrium position and accelerates, its kinetic energy steadily rises due to increasing velocity, and its potential energy decreases as the object descends and loses height.
The maximum kinetic energy is achieved at the object's equilibrium position where it has the highest velocity.
This maximum kinetic energy is equal to the object's maximum potential energy at its highest point.
In these scenarios of SHM, air resistance and any other external force is considered negligible, therefore the total energy in the system always remains the same.
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