CENTRAL FORCES - A force binding the Universe

Understand the motion of double stars , conservation laws and equation of central force orbits

Created byVISHAL DEOARSHI

Last updated 5/2023

Hindi

What you'll learn

They will learn about central forces
They will build good concept and would be able to solve numericals as well
This will help understand motion of stars and planets and the trajectory traced by them
They will inderstand how the conservation laws forces the celestial bodies to take a specific paths

Course content

1 section • 20 lectures • 15h 0m total length

Definition of Central Forces12:55
Equivalent One Body System58:11
Motion of Double Stars37:53
Conservation of Angular Momentum39:39
Potential Energy44:37
Central Force Potential45:02
Quasistatic Equilibrium23:55
Conservation of Energy18:18
Trajectory of Particle Under Central Forces30:33
Equation of Orbit26:11
Problems on Equation of Orbits10:56
Boundedness vs Unboundedness33:41
Condition for Central Force Motion10:03
Motion Under Inverse Square Law Forces1:13:09
Virial Theorem13:40
Applications of Virial Theorem15:37
Problems on Central Forces1:38:01
Problems on Central Forces-contd20:29
Gravitation2:08:35
Gravitation-contd2:39:31

Requirements

should have basic knowledge of mechanics
They should some background of school level calculus

Description

The course includes following topics.

1. Definition of central forces

2. Equivalent One body Problems

3. Motion of Double Stars

4. Conservation of Angular Momentum

5. Potential Energy

6. Central Force Potential

7. Quasistatic Equilibrium

8. Conservation of Energy

9. Trajectory of Particle Undergoing Central Force motion

10. Equation of Orbit

11. problems on Equation of Orbit

12. Boundedness vs Unboundedness

13. Condition for Central Force Motion

14. Motion under Inverse Square Law Forces

15. Virial theorem

16. Applications of Virial Theorem

17. Problems on Central Forces

18. Problems on Central Forces - contd

19. Gravitation

20. Gravitation-contd

On these topics, we will have video lectures, pdf notes. We will cover sufficient number of numericals so that the concepts get crystal clear. We have covered all important derivations like equation of orbits, How conservation laws forces the planets to move in elliptical orbit. We have dealt keplers law in good details. You will also get to know the motion of double stars and binary stars. Why the proton is at rest in H atom. You will also have glimpse of the Rutherford and Gravitational Scattering.

At the end, i have discussed in great detail the gravitation force, gravitational field , gravitational potential energy.

Central force motion is the most important topic of classical mechanics. Two of the basic interactions of the universe - graviational and coulombic forces are central forces. This is a family of forces.

Who this course is for:

intermediate and graduate physics students
Those who intend to do research in physics and astrophysics