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# General Principles PowerPoint PPT Presentation

General Principles. Modeling of problem Newton’s Law of Motion Law of Gravitation Units Vectors. Problem Solving Strategy:. Physical Model: Transformation of actual problem into simpler Assumptions Using Free Body Diagram : FBD Mathematical Model: Newton’s Law:

General Principles

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### General Principles

• Modeling of problem

• Newton’s Law of Motion

• Law of Gravitation

• Units

• Vectors

### Problem Solving Strategy:

• Physical Model:

• Transformation of actual problem into simpler

• Assumptions

• Using Free Body Diagram: FBD

• Mathematical Model:

• Newton’s Law:

• F=0 and Mo=0 (coord. System)

• Set of equations to be solved

• Solution of Equations:

• Computational Tools: Maple, Matlab, Prog.

• Interpretation Results: Does answ. Makes sense?

### Newton’s Laws of Motion

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.

### Newton’s Law of Motion

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.

### Newton’s Law of Motion

• 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).

### Law#4: Law of Gravitation

• 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

### Activity 1: Weight

• 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 Moon: 1.738x10^6 m

• Radius of Sun: 6.96x10^8 m

### Weight & Mass:

• Weight:

where: and on earth surface:

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

• Mass:

### Units

Tables 1.6 and 1.7 in book

### Percent Error

A = Value to be Compared

B = Reference Value

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