Explanation:

What is SHM?
SHM or Simple Harmonic Motion is a type of periodic motion where the motion of an object is oscillatory and is characterized by the presence of a restoring force that is directly proportional to the displacement of the object from its equilibrium position.

Energy of SHM
The total energy of an object undergoing SHM is the sum of its kinetic energy and potential energy. The kinetic energy is maximum at the extreme positions while the potential energy is maximum at the mean position. However, the total energy remains constant throughout the motion.

Maximum energy of SHM
The maximum energy of SHM occurs at the extreme position. This is because the velocity of the object is maximum at the extreme position. As the object moves towards the mean position, the velocity decreases and becomes zero at the mean position. From the mean position to the extreme position, the velocity of the object increases again. Therefore, the kinetic energy is maximum at the extreme position.

Reason for maximum energy at extreme position
The reason for the maximum energy at the extreme position is that the potential energy is zero at this position. As the object moves away from the mean position, the potential energy increases and becomes maximum at the extreme position. At this position, the potential energy is at its maximum and the kinetic energy is also at its maximum. Therefore, the total energy of the object is maximum at the extreme position.

Conclusion
In summary, the energy of SHM is maximum at the extreme position because the kinetic energy is maximum at this position. The potential energy is zero at the extreme position, which increases as the object moves towards the mean position. The total energy of the object is constant throughout the motion, but it is maximum at the extreme position.

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