It is mainly two typelinear shma particle executing linear simple harmonic motion oscillates in straight line periodically in such a way that the acceleration is proportional to its displacement from a fixed point, and is always directed towards that point. The frequency and period are reciprocals of each other. Is independent of amplitude and acceleration due to gravity. All oscillatory motions are simple harmonic motion. Mfmcgrawphy 2425 chap 15haoscillationsrevised 102012 4 characteristics of shm. Elastic limit if exceeded, the spring does not return to its original shape. Simple harmonic motion or shm is the simplest form of oscillatory motion. Simple harmonic motion 5 shm hookes law shm describes any periodic motion that results from a restoring force f that is proportional to the displacement x of an object from its equilibrium position. Simple harmonic motion shm, oscillatory motion where the net force on the system. Oftenly, the displacement of a particle in periodic motion can always be expressed in terms of.
Notes for simple harmonic motion chapter of class 11 physics. Any motion, which repeats itself in equal intervals of time is called periodic motion. This module is concerned with one of the simplest types of periodic motion1 simple harmonic motion shm. Physics i chapter 12 simple harmonic motion shm, vibrations, and waves many objects vibrate or oscillate guitar strings, tuning forks, pendulum, atoms within a molecule and atoms within a crystal, ocean waves, earthquake waves, etc. Pdf this chapter is intended to convey the basic concepts of oscillations. The motion of the pendulum is a particular kind of repetitive or periodic motion called simple harmonic motion, or.
Shm occurs when a particle or body is displaced from an equilibrium position and experiences a restoring force i. An understanding of simple harmonic motion will lead to an understanding of wave motion in general. Simple harmonic motion simple harmonic motion shm occurs when the restoring force the force directed toward a stable equilibrium point is proportional to the displacement from equilibrium. An alternative definition of simple harmonic motion is to define as simple harmonic motion any motion that obeys the differential equation \ \ref11. Shm arises when force on oscillating body is directly proportional to the displacement from its equilibrium position and at any point of motion, this force is directed towards the equilibrium position. Lets look at various aspects of simple harmonic motion including energy, motion, relationship with circular. Simple harmonic motion is any motion where a restoring force is applied that is proportional to the displacement and in the opposite direction of that displacement. It might seem like weve started a topic that is completely unrelated to what weve done previously. The angular frequency for simple harmonic motion is a constant by.