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Law of Gravitation
Basic Mechanical Engineering
Instructor: - Engr. Mudasir Wahab
Weight of a body
• weight of the body is actually gravitational force acting on it.
• In statics and in dynamics we are interested to compute the weight of
the body.
Why we need Law of Gravitation
• The calculation mentioned in above slides requires law of gravitation.
• Which was also formulated by Newton's.
Law of Gravitation
• The law of Gravitation is
expressed by the follwoing
equation:
2
2
1
r
m
m
G
F 
Continued......
• Where
• F = The mutual force of attraction between two particles.
• G = a universal constant known as the constant of gravitation.
• m1, m2 = the masses of the two particles.
• r = the distance between the centers of the particles.
About Mutual Forces and G
• The mutual forces F obey the law of action and reaction.
• Since these are equal and opposite.
• And directed along the line joining the centers of the particles.
• The of gravitation constant G is 6.673(10-11)m3/(kg.s2).
Gravitational Attraction of the Earth
• Gravitational forces exists between every pair of bodies.
• The gravitational attraction of eaarch on a body exists whetber the
body is at rest or in motion.
• This attraction is force as the weight of body should expressed in
Newtons in SI and Pounds in US customery units.
• W = mg
Principle of Transmissibility
• “A force may be applied at any
point on its given line of action
without altering the resultant
effects of the force external to
the rigid body on which it acts. “

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Law of Gravitation for engineering students

  • 1. Law of Gravitation Basic Mechanical Engineering Instructor: - Engr. Mudasir Wahab
  • 2. Weight of a body • weight of the body is actually gravitational force acting on it. • In statics and in dynamics we are interested to compute the weight of the body.
  • 3. Why we need Law of Gravitation • The calculation mentioned in above slides requires law of gravitation. • Which was also formulated by Newton's.
  • 4. Law of Gravitation • The law of Gravitation is expressed by the follwoing equation: 2 2 1 r m m G F 
  • 5. Continued...... • Where • F = The mutual force of attraction between two particles. • G = a universal constant known as the constant of gravitation. • m1, m2 = the masses of the two particles. • r = the distance between the centers of the particles.
  • 6. About Mutual Forces and G • The mutual forces F obey the law of action and reaction. • Since these are equal and opposite. • And directed along the line joining the centers of the particles. • The of gravitation constant G is 6.673(10-11)m3/(kg.s2).
  • 7. Gravitational Attraction of the Earth • Gravitational forces exists between every pair of bodies. • The gravitational attraction of eaarch on a body exists whetber the body is at rest or in motion. • This attraction is force as the weight of body should expressed in Newtons in SI and Pounds in US customery units. • W = mg
  • 8. Principle of Transmissibility • “A force may be applied at any point on its given line of action without altering the resultant effects of the force external to the rigid body on which it acts. “