Mechanics
- Can be devided into 3 branches:
- Rigrid-bidy Mechanics
- Deformable-body Mechanics
- Fluid Mechanics
- Rigrid-body Mechanics deals with
- Statics
- Equilibrium of bodies
- At rest
- Move with constant velocity - Dynamics
- Accelerated motion of bodies
Fundamentals Concepts
- Basic Quantities
- Length – locate the position of a point in space
- Mass – measure of a quantity of matter
- Time – succession of events
- Force – a “push” or “pull” exerted by one body on another
- Idealizations
- Particles – has a mass and size can be neglected
- Rigrid Body – a combination of a large number of particles
- Concentrated Force – the effect of a loading
- Newton’s Three Laws of Motion
- First Law
“A particle originally at rest, or moving in a straight line with constant velocity, will remain in this state provided that the particle is not subjected to an unbalanced force” - Second Law
“A particle acted upon by an unbalanced force F experiences an acceleration a that has the same direction as the force and a magnitude that is directly proportional to the force”
- Third Law
“The mutual forces of action and reaction between two particles are equal and, opposite and collinear”
F = force of gravitation between two particles
G = universal constant of gravitation
m1, m2 = mass of each of the two particles
r = distance between the two particles
Weight :
Letting :
Yields :
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