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General Principles

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- Modeling of problem
- Newton’s Law of Motion
- Law of Gravitation
- Units
- Vectors

- Physical Model:
- Transformation of actual problem into simpler
- Assumptions

- Using Free Body Diagram: FBD

- Transformation of actual problem into simpler
- Mathematical Model:
- Newton’s Law:
- F=0 and Mo=0 (coord. System)
- Set of equations to be solved

- Newton’s Law:
- Solution of Equations:
- Computational Tools: Maple, Matlab, Prog.

- Interpretation Results: Does answ. Makes sense?

Law #1: Body is in Equilibrium

Body will remain at rest or continue to move with same speed (accel.=0) and direction unless unbalance force is acted on body or particle.

Law #2: Non-equilibrium

Change of motion of a body is proportional to the next force imposed on the body and is in direction of net force.

- Law #3: Action & Reaction
If one body exerts a force on a second body, then second body exerts a force on the first body that is equal in magnitude, opposite in direction and collinear (same line of action).

- Any two bodies are attracted to each other with a force whose magnitude is proportional to the product of their gravitational masses and inversely proportional to the square of the distance between them.

m

F

M

F

r

- If an object has a mass m=50Kg find the weight of object at surface of earth, moon and sun?
G = 66.73x10-12 (m3/Kg/s2)

Universal gravitational const.

Given:

- Mass of earth= 5.976x1024 Kg
- Mass of moon= 7.35x1022 Kg
- Mass of sun=1.99x1030 Kg
- Radius of earth=6.371x106 m
- Radius of Moon: 1.738x10^6 m
- Radius of Sun: 6.96x10^8 m

- Weight:
where: and on earth surface:

g= 9.807m/s2 (SI) or g= 32.17 ft/s2 (US)

- Mass:

Tables 1.6 and 1.7 in book

A = Value to be Compared

B = Reference Value

% Error = (A-B)/B (100%)