What is the energy transfer in simple harmonic motion?

The energy transfer in simple harmonic motion is between kinetic and potential energy.

Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. This means that the motion is oscillatory and can be described by a sinusoidal function. In simple harmonic motion, the energy transfer is between kinetic energy and potential energy.

At the equilibrium position, the displacement is zero and the velocity is at its maximum. This means that all the energy is in the form of kinetic energy. As the object moves away from the equilibrium position, the potential energy increases and the kinetic energy decreases. At the maximum displacement, the velocity is zero and all the energy is in the form of potential energy.

The total energy of the system remains constant throughout the motion. This is known as the principle of conservation of energy. The total energy is the sum of the kinetic energy and potential energy.

E = K + U

where E is the total energy, K is the kinetic energy and U is the potential energy.

The kinetic energy can be expressed as:

K = 1/2mv^2

where m is the mass of the object and v is the velocity.

The potential energy can be expressed as:

U = 1/2kx^2

where k is the spring constant and x is the displacement from equilibrium.

Therefore, the energy transfer in simple harmonic motion is between kinetic energy and potential energy, and the total energy of the system remains constant.