# Periodic Motion Class 12 Physics Notes and Numericals

Periodic Motion falls under mechanics of class 12 physics. Periodic Motion Class 12 Physics Notes is designed according to the updated syllabus of 2080 and it covers all the important portion of the chapter. Students can easily prepare their notes, study for test or exams by taking the help of class 12 Periodic Motion Notes.

Periodic Motion Class 12 physics notes PDF contains all the derivation, important formulas, give reasons, solved numericals and other many important questions. Students can even download class 12 Periodic Motion Notes PDF for using it offline.

## Unit - 1.2

__Periodic Motion__

Periodic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same.

The force responsible for the motion is always directed toward the equilibrium position and is directly proportional to the distance from it. That is, F= -kx, where F is the force, x is the displacement, and k is a constant.

** Chapter Overview ****In this chapter we are going to learn the following concepts, ideas or topics;**

- Simple Harmonic Motion
- Equations of simple harmonic motion
- Energy of particle executing S.H.M.
- Application of Simple harmonic motion
- Simple Pendulum
- Angular Simple harmonic motion
- Types of Oscillation and resonance

Now let's move on to the notes of periodic Motion. The PDF given below contains all the notes which includes all the topics mentioned in the chapter overview. We request students to use the notes of Periodic Motion wisely for the purpose of making notes and preparing for the board examination.

You have to scroll down the PDF to view all the notes of Periodic Motion. This PDF contains 16 slides in total which contains all the required notes of Periodic Motion. It doesn’t contains the numerical problems so if you are searching for the numericals then you'll find them in the next PDF given below.

### Perodic or Simple Harmonic Motion (S.H.M)

A specific example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring, the other end of which is fixed in a ceiling. At the maximum displacement , the spring is under its greatest tension, which forces the mass upward.

At the maximum displacement +x, the spring reaches its greatest compression, which forces the mass back downward again. At either position of maximum displacement, the force is greatest and is directed toward the ing Skills equilibrium position, the velocity (v) of the mass is zero, its acceleration is at a maximum, and the mass changes direction.

At the equilibrium position, the velocity is at its maximum and the acorleration (a) has fallen to zero, Simple harmonic mobon is characterized by this changing acceleration that always is directed toward the equilibrium position and is praponttahal to the displacement from the equilibrium position

The motion is called harmonic because musical instruments make such vibrations that in turn cause corresponding sound waves in air. Musical sounds are actually a combination of marny simple harmonic waves corresponding to the many ways in which the vibrating parts of a musical instrument oscillate in sets of superimposed simple harmonic motions, the frequencies of which are multiples of a lowest fundamental frequency.

In fact, any regularly repetitive motion and any wave, no matter how complicated its form, can be treated as the sum of a series of simple harmonic motions or waves, a discovery first published in 1822 by the French mathematician Joseph Fourier.

### Periodic Motion Class 12 Physics Numerical Questions

Those students who want to practice the numericals from periodic motion chapter can practice the questions given in the PDF below. We have solved the selected numericals which will provide you the way of solving the numericals.

This PDF contains all the important numericals from Periodic Motion chapter. In addition to the numericals it also contains all the required formulas used for solving the numerical problems of this chapter.

If you are willing to practise more numerical problems for your examination then you can practice the questions listed below.

- A body of mass 0.1 kg is undergoing simple harmonic motion of second. amplitude 1 m and period 0.2 If the oscillation is produced by a spring what will be the maximum value of the force and the force constant of the spring? [
**Ans: 98.6 N, 98.6 N/m**] - A body of mass 200 gm is executing simple harmonic motion with amplitude of 20 mm. The maximum force which acts upon it is 0.8 N. Calculate its maximum velocity and its period of oscillation. [
**Ans: 0.28 m/sec2, 0.45 sec**] - A body of mass 2 kg suspended from a spring of negligible mass and is found to stretch the spring 0.1m. What is force constant and the time period? [
**Ans: 200N/m, 0.62 sec**] - A glider with mass m = 2kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 5N/m You pull the glider, stretching the spring 0.100 m and thenreleases with no initial velocity. The glider begins to move back toward its equilibriumposition (x = 0) What is its velocity when x= 0.08m ? [
**Ans: 0.1 m/sec**] - A second pendulum is taken to the moon. If the time period on the surface of the moon is 4.90 seconds, what will be the acceleration due to gravity of the moon? Take acceleration due to gravity of the moon to be 1/6 th that of the earth. [
**Ans 1.63 m/sec**]