Question

What is K in SHM?

Answer 1

Simple harmonic motion results in the oscillation of the object. An example of the simple harmonic motion is the mass attached to the spring on one end which is vertical and the other end of the spring is fixed and it shows upward and downward movement because of the force.

Complete step by step answer:
SHM stands for simple harmonic motion and it is a special type of periodic motion where the restoring force applied on the moving object is directly proportional to the displacement magnitude of the object and acts towards the equilibrium position of the object.
So, a simple harmonic motion is defined as the motion of the particle which is moving along a straight line and has an acceleration whose direction is always towards a fixed point on a given line and whose magnitude always remains proportional to the distance from the fixed point.
In a simple harmonic motion, when the system is displayed from its equilibrium position, a restoring force tends to restore the system in equilibrium and the restoring force obeys the hooke's law.
When the spring faces the maximum displacement that is $- x$, then the spring is under its greater tension and that forces the mass of the object upwards which is tied to the spring. When the spring faces the maximum displacement $+ x$, then the spring faces its greatest compression which forces the mass of the object which is tied to the spring downward again. Also, the time interval for each complete vibration in simple harmonic motion always remains constant and it does not depend on the maximum displacement.
The restoring force is given as shown below.
$F = - kx$
In the above expression, ‘F’ is the restoring force that is exerted by the spring, ‘k’ stands for the spring constant, and ‘x’ is the displacement from the equilibrium position.
So, from the above results, we get to know that ‘k’ stands for spring constant in SHM.

Note:
At the time of any of the maximum displacement, the force will be the greatest and it will be directed towards the equilibrium position, the velocity of the mass becomes zero, its acceleration will be maximum and the mass changes its direction because it shows upward and downward movement.