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Newton’s Law of Universal Gravitation If there are two particles m₁ and m₂ from r distance, then there exists attractive force between these particles named as given digram directed from one body to other body and equal to magnitude directly proportional to product of masses of the bodies and inverse proportional to square distance between bodies.



G=Universal Gravitation G=6.67 * 10 ^-11Nm² / kg²

G dimensions formula


Given uniform rod length l and mass of rod M. Calculate gravitation force on rod due to point particle of mass m placed r from one end of this rod.

To find this we consider a small element of width dx on the rod as shown in figure at a distance x from the point mass in. the mass of this element can be given as



To find the net force on rod we integrate the above expression for the whole rod i.e. from a distance r to r+l,





We cover following topics in gravitation case study
1. Newton’s Law of Universal Gravitation
2. Gravitation Force Due to Uniform Rod
3. Gravitation Filed Intensity (E or I)
4. Potential Energy (Gravitational Potential Energy)
5. Self Energy
6. Interaction Energy of A System Of Particles
7. Gravitational Potential
8. Gravitational potential and field due to various objects
9. Relation b/w Gravitational Potential and Intensity (V and E or I)
10. Relation between G and g
11. Variation in acceleration due to gravity
12. Satellite and Planetary motion
13. Circular motion of satellite
14. Escape Velocity
15. Bound & Unbound Trajectories
16. Geo Stationary Satellite
17. Kepler’s Law(First, Second and Third Laws)