Statics Of Rigid Bodies Flashcards
What is Mechanics?
A science that describes and predicts the conditions of rest and motion of bodies under the action of forces.
What is a rigid body?
Many particles with fixed positions relative to one another.
What are the subcategories of the mechanics of rigid bodies?
Statics and dynamics
What does static mean?
The object is at rest.
What does dynamic mean?
The object is in motion.
Who started mechanics?
Mechanics goes back all the way to Aristotle and Archimedes but Newton was the one who laid the foundations.
What acts as the basis of engineering science?
Newtonian mechanics.
What are the basic concepts dealt with in mechanics?
Space, time, mass, force
What is a particle?
A small amount of matter assumed to be a point.
What is the parallelogram law for the addition of forces?
2 forces acting on a particle can be replaced by a single resultant force which is the diagonal of the parallelogram made by the forces.
What is the principle of transmissibility and what are the conditions for this to hold true?
The conditions for equilibrium will not change if the force is applied at a different point on the body provided the force has the same magnitude, direction, line of action, and provided it is acting on a rigid body.
What is Newton’s 1st law?
Law of inertia- an object at rest stays at rest unless acted on by an imbalanced force.
What is Newton’s 2nd law?
f=ma
What is Newton’s 3rd law?
Forces and reactions between bodies in contact have the same magnitude, opposite sense and the same line of action.
What is Newton’s Law of Gravitation?
2 particles are attracted to each other depending on their masses and distance from each other.
Define a vector.
Mathematical expressions with both magnitude and direction.
What things define a force?
Magnitude, direction, line of action, sense and point of application.
What is a fixed vector?
A vector that can’t be moved without changing the problem.
What are free vectors?
Vectors that can be moved around.
What are equal vectors?
Same magnitude and direction
Define moment.
Measure of the tendency of a body to rotate about a point or axis.
What is the formula for moment?
Moment= force x distance
Considering the properties of a force, when will moment exist?
When equal and opposite forces (same magnitude, opp. Direction) have different lines of action.
What is the moment arm?
The perpendicular distance between the line of action of the force and the center of moments.
Define center of moments.
The actual point about which the force causes rotation.
Define couple.
2 equal and opposite force, parallel lines of action, produce rotation but not translation, separated by a perpendicular distance