ENVI 499 Lecture Notes - Lecture 4: Statics, Circular Motion, Radian
Mechanics
deals with the study of the bodies and systems and the forces acting on them.
Statics
Dynamics
Branches of mechanics
Statics
study of bodies at rest or in equilibrium
Dynamics
branch of mechanics which deals with the motion of bodies.
Kinematics
Kinetics
Branches of dynamics
Kinematics
is the study of motion without reference to the forces which cause the motion.
Kinetics
relates the action of forces on bodies to their resulting motion.
Scalar quantity
Vector quantity
Physical quantities in mechanics
Scalar quantity
is a quantity that has magnitude only (speed, distance, volume, current, etc.
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Vector quantity
is a quantity that has magnitude and direction (force, gravity, displacement, acceleration, momentum,
etc.
Force
is any influence that tend to change the state (@ rest or in motion) of the body.
Colinear
Parallel
Frictional
Coplanar
Concurrent
Non-concurrent
Types of force
Colinear Forces
are forces that act on the same line of action
Parallel forces
are forces that are of the same angle to one another.
Couple
is a pair of parallel forces of the same magnitude but opposite in direction
Frictional Force
a force that always acts in opposite direction to the applied force
Coplanar Forces
are forces lying on the same plane.
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Concurrent Forces
are forces that meet in one common point.
Non-concurrent Forces
are forces that do not meet in one common point.
Resultant of the forces
is the single force which would have the same effect as of the many forces acting in one body.
Equilibrant
is the single force that is of the same magnitude of the resultant but opposite in direction.
Static Equilibrium ( Resultant = 0 )
is the state of the body where when at rest it will remain at rest.
Graphical Condition
Directional Condition
Analutical Condition
Conditions for bodies in equilibrium
Graphical condition (Equilibrium)
the forces (vectors) closed a polygon. In the state of equilibrium, there is no closing vector needed to
close the polygon, thus; the resultant is zero.
Directional Condition (Equilibrium)
three or more forces (vectors) are said to be in equilibrium if and only if these forces meet in one
common point.
Analytical condition (Equilibrium)
force (vectoes) in equilibrium must satisfy the three given conditions:
EFx = 0
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Document Summary
Mechanics deals with the study of the bodies and systems and the forces acting on them. Statics study of bodies at rest or in equilibrium. Dynamics branch of mechanics which deals with the motion of bodies. Kinematics is the study of motion without reference to the forces which cause the motion. Kinetics relates the action of forces on bodies to their resulting motion. Scalar quantity is a quantity that has magnitude only (speed, distance, volume, current, etc. Vector quantity is a quantity that has magnitude and direction (force, gravity, displacement, acceleration, momentum, etc. Force is any influence that tend to change the state (@ rest or in motion) of the body. Colinear forces are forces that act on the same line of action. Parallel forces are forces that are of the same angle to one another. Couple is a pair of parallel forces of the same magnitude but opposite in direction.
