Mechanics

mechanics

the applied science that describes and predicts the condition of bodies under the action of forces

space

Geometric regions that are occupied by bodies

• Position of a body is measured with respect to a 2 or 3 dimensional space coordinate system

time

measure of succession of events

mass

property of matter that resists the change in velocity (inertia)

force

push or pull exerted on a body characterised by magnitude, direction and a point of action

particle

a body that has a negligible dimensions and is treated as a mass concentrated at a point

rigid body

is a body that does not deform. The distance between any two points in it remains unchanged

newtons 1st law of equilibrium of forces and bases of statics

a particle remains at rest or continues to move with uniform velocity if there is no unbalanced force acting on it

newtons 2nd law Describes the motions and bases of dynamics

acceleration of a particle is proportional to the resultant force acting on it, and is in the direction of this force (f = ma)

newtons 3rd law

the forces of action and reaction between interacting bodies are equal in magnitude, opposite in direction and colinear

force

The weight of a body is the result of the gravitiational force exerted by the earth's gravitational pull

F = G*(m1*m2//r²)

gravitation

The gravitational force between any two particles depends on their masses. Distance and a  universal constant G by the following equation

gravity = G * (m³/kg.s²)

free vector

a vector in which the line of action is not unique

sliding vector

a vector in which you can move the vector along the line of action without changing its action

• the line of action is unique but the point of application is not

fixed vetcor

a vector in which both the line of action and point of application is unique

direction cosines

the cos of the angle the vector forms. e.g. cos(th)x = l