ROTATION OF 2 MASSES UNDER MUTUAL
NEWTON'S LAW OE GRAVITATTONAL FORCE OF ATTRACTION
GRAVITATION
F F Gm'
F=
Gm,m,
Gm,?
G- Universal gravitational constant (m, *m,) r
Value of G COM
6.67x10-1 NmKg² (5I or MKS) 'Time period T² = 47?
G(m, *m)
6.67×10-* dyne cm'g* (C6S)
Dimensional formula or
[G]-[MLT]
IMPORTANT POINTS ABOUT THREE EQUAL MASSES REVOLVING
GRAVITATIONAL FORCE UNDER MUTVAL GRAVITATIONAL FORCE
1. Gravitational force is V
* Always attractive in nature GM GM
Independent of the nature of medium v, - RÍS
between masses
* Independent of presence or absence Time period
of other bodies
2. is a central force, acts along the line
joining centre of gravity of two bodies.
3. Conservative force
FOUR EQUAL MASSES UNDER MUTVAL
GRAVITATIONAL FORCE
GM
2/2 (242*1)
VECTOR FORM F,,=force on 2 due to 1
=vector from m, to m, V=
G m,mz
Fz (-) Here R
F
Similarty
F., =force on 1 due to 2 GRAVITY
Acceleration due to gravity GM,
z) or Fm,m, on the surface of earth, 9 =
M - mass of earth
R
Clearty, gravitational force follows R- Radius of earth
Newtons third law F,, = - F2
(Put GM, g Rto solve
M
problems easily]
Gravitational force is a two body interaction.
Force between two particles does not depend
on the presence or absence of other particles.
The principle of superposition is valid here. g IN TERMS OF DENSITY OF EARTH
"Force on a particle due to a no. of particles
is the resultant of forces due to individual gTGPR, gopR,
particles." "If density is mentioned use the
above equation"
NEWTON'S LAW OE GRAVITATTONAL FORCE OF ATTRACTION
GRAVITATION
F F Gm'
F=
Gm,m,
Gm,?
G- Universal gravitational constant (m, *m,) r
Value of G COM
6.67x10-1 NmKg² (5I or MKS) 'Time period T² = 47?
G(m, *m)
6.67×10-* dyne cm'g* (C6S)
Dimensional formula or
[G]-[MLT]
IMPORTANT POINTS ABOUT THREE EQUAL MASSES REVOLVING
GRAVITATIONAL FORCE UNDER MUTVAL GRAVITATIONAL FORCE
1. Gravitational force is V
* Always attractive in nature GM GM
Independent of the nature of medium v, - RÍS
between masses
* Independent of presence or absence Time period
of other bodies
2. is a central force, acts along the line
joining centre of gravity of two bodies.
3. Conservative force
FOUR EQUAL MASSES UNDER MUTVAL
GRAVITATIONAL FORCE
GM
2/2 (242*1)
VECTOR FORM F,,=force on 2 due to 1
=vector from m, to m, V=
G m,mz
Fz (-) Here R
F
Similarty
F., =force on 1 due to 2 GRAVITY
Acceleration due to gravity GM,
z) or Fm,m, on the surface of earth, 9 =
M - mass of earth
R
Clearty, gravitational force follows R- Radius of earth
Newtons third law F,, = - F2
(Put GM, g Rto solve
M
problems easily]
Gravitational force is a two body interaction.
Force between two particles does not depend
on the presence or absence of other particles.
The principle of superposition is valid here. g IN TERMS OF DENSITY OF EARTH
"Force on a particle due to a no. of particles
is the resultant of forces due to individual gTGPR, gopR,
particles." "If density is mentioned use the
above equation"
