One of the simplest type of oscillatory motion is date off horizontal mass spring system. The if the spring is compressed are stress through the displacement X from its mean position, it it exerts a force f on the mass. This force is directly proportional to the change in length x of the spring for example
F=-kx
Where X is the displacement of the mass from the from its mean position o coma is the constant called the spring constant define
as, K=-f/x
The value of k is Maya of the stiffness of the spring. Stiff spring have large value of k and soft spring have small value of k.
As f=ma
Therefore k=-ma/x
or a=-k/m x a *-x
It means that the acceleration of the mass attached to the spring is directly proportional to its displacement for the main position. has horizontal motion of a spring mass spring system is the example of simple harmonic motion. The negative sign shows in mean position mean that the force exerted by disappearing is always directed opposite to the displacement of the mass. Exerted by the spring is always directed opposite to the displacement of the mass. Because the supreme force always act towards the mean position, it sometimes called restoring force Definition Restoring force always push or pull the object performing oscillatory motion towards the mean position.As the match move from the mean position to the extreme position be comedy on 8 word the mean position steadily increase in the strength. Hence the speed of the mass decreases it move toward the extreme position BE first of the match finally come to rest at the extreme position be. Ultimately the maths return to the mean position due to the restoring force. The process of repeated, and oscillate back and forth about the mean position of. such mass attached to the spring on the horizontal frictionless surface is known as simple harmonic motion. Now I am going to tell you what is time period. The time Of the simple harmonic motion of a mass M attached to a spring is given by the following equation
T =2
m/k
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