Central Orbit under inverse square law is a Conic with Focus as pole. Prove it.

#mechanics #centralorbit #motioninplane
Rajkishor Patra (M.Sc, Jadavpur University)
Please subscribe me. 🙏
You can also follow me only for jee mathematics
@JeeMathsatoz-RPSir

Law of force and Velocity at any point of
Motion in a plane (Cartesian Coordinate) Link below 👇

Law of force and Velocity . Link below👇
Circular Orbit in two different methods.
Parabolic orbit in two different methods.
Elliptic orbit with centre at focus
Elliptic orbit with centre at centre of ellipse
Hyperbolic orbit if centre of force at focus.
Equiangular spiral if centre of force at pole.
Central Orbit r^n=a^n Cos(n theta)

The Sectorial Area traced Out by the radius vector to the Centre of Force Increase at Constant rate.👇
Velocity at any point in Central Orbit. Deduction in two forms.Link below 👇
Derivation of differential equation of Central Orbit in pedal coordinate.Link below 👇
Derivation of differential equation of Central Orbit in pedal coordinate.(Independent Proof)Link 👇
Velocity and angular momentum in central orbit.
What is Areal velocity in central orbit. How to derive it.Link below 👇
Definition of Central force and Central Orbit also derivation of differential equation of Central Orbit in polar coordinate.Link below 👇

Important Result of differential calculus. Link 👇

Tangential and Normal Components of velocity and acceleration in Cartesian Coordinate.👇

Radial and cross dadial velocity and acceleration in plane motion, Polar Coordinate.Link below 👇

This is the foundation lecture of motion in plane. What are the rate of change of unit vectors in plane.Link below 👇

Rectilinear motion under gravity in resisting medium.(Exercise solution)Link below 👇

Terminal Velocity or Limiting Velocity. How to find it and details discussion about it..Link below 👇

Equation of motion of particle when it moving in a straight line under attraction of Earth. What are the acceleration in different positions of particle.Link below 👇

Solve example under attraction of Earth . 👇


Equation of motion of particle in horizontal and vertical plane when tension or thrust acting.Link below 👇

Motion in a plane (In polar coordinate)
(Exercise solution ).Link below 👇

Rectilinear motion (Particle attached to the end of elastic String)(Exercise solution)Link below 👇

Rectilinear motion(Exercise solution)Link below 👇

Motion under force directly proportional to the distance and away from fixed point. Link below 👇

Motion under inverse square law. Link below 👇

Simple harmonic motion(Exercise solution)Link below 👇

This is the Part -C ( Concept SHM)

This is the Part -B ( Concept SHM)

This is the Part -A ( Concept SHM)

1st Lecture of rectilinear motion.

This is the first lecture of Mechanics (Dynamics of Particles).