To be able to understand the simple hormonic motion, it is very important to understand the periodic motion. A periodic motion is the one that repeats on its own at equal time periods. It is called as a periodic motion. This is a type of motion where an object repeats on its own path at regular and fixed time intervals.
The force that gets applied by the spring in the direction of the equilibrium / mean position is referred to as the restoring force. Suppose this force is denoted as F and the amount of displacement of a string from the position of an equilibrium position is x, then the restoring force will be F= – kx
There are a few concepts of simple harmonic motion that you have to know in order to fully understand the concept of simple hormonic motion.
The total amount of time required by any particle to make one complete oscillation is called its period. So, in case of S.H.M, it is the least amount of time post which its motion will start to repeat on its own. In other words, the motion of SHM will repeat on itself post nT seconds. Here, n is an integer quantity.
Frequency of a simple hormonic motion is the total oscillations that a performed by any particle per unit time. The S.I. unit of “frequency” is rotations per second or hertz. The dimension of frequency is L0M0T-1.
Phase of a simple hormonic motion is the state of its oscillation. The direction and magnitude of displacement of any particle representsits phase. Phase of a SHM at the starting of any motion is called as Epoch (α).
Linear form of simple harmonic motion is described as the linear and periodic motion of a body where the restoring force always directs in the direction of the mean position. Its magnitude is completely proportional to the amount of displacement in its position from the mean position. One important thing that you need to note is that all simple harmonic motions or SHM are periodic by nature, but not all periodic motions are simple harmonic motion.
In case of a periodic motion, the direction of the displacement of an object can or cannot be towards the restoring force. When seen in the case of a simple harmonic motion, the direction of the displacement is always in an opposite direction to the application of the restoring force.