A block of mass 0.4kg on a horizontal surface is attached to a horizontal spring of negligible mass. The other end of the spring is attached to a wall and there is neglig ble friction between the block and the horizontal
surface. The center of mass of the block is stretched a horizontal distance 0.25 beyond its equilibrium position and released from rest such that the block spring system undergoes simple harmonic motion. A graph
of the spring potential energy of the block spring system as a function of the horizontal position of the center of mass of the block is shown. The positive direction is considered to be to the right
of the force exerted by the spring on the block as a function of the block's horizontal position

A loaded spring undergoes simple harmonic motion whose period is proportional to the mass and inversely proportional to the spring constant.

What is simple harmonic motion?

Simple harmonic motion is the periodic motion of an object along a straight line, such that the acceleration of the object is directed towards a fixed point on that line and is proportional to its distance from that point.

Example of a simple harmonic motion is the motion of a loaded spiral spring.

The restoring force on the spring is directly proportional to the extension of the spring and the spring constant.

The period of motion, T when a mass, m is attached to a spring with spring constant k,is given as:

T = 2π√(m/k)

Therefore, a loaded spring undergoes simple harmonic motion whose period is proportional to the mass and inversely proportional to the spring constant.

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