Engineering Science 1

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True

A set of forces in equilibrium may be added to any system of forces without changing the effect of the original system

True

A set of forces in equilibrium may be added to any system of forces without changing the effect on the original system.

Sliding Vector

A vector that has a unique line of action in space but not a unique point of application. For example, when an external force acts on a rigid body, the force can be applied at any point along its line of action without changing its effect on the body as a whole

Fixed Vector

A vector that has one for which a unique point of application is specified. The action of a force on a deformable or nonrigid body must be specified by a fixed vector at the point of application of the force. In this instance the forces and deformations within the body depend on the point of application of the force, as well as on its magnitude and line of action.

Free Vector

A vector whose action is not confined to or associated with a unique line in space.

True

Action and reaction forces are equal but oppositely directed

True

Action and reaction forces are equal but oppositely directed.

Scalar Quantities

Examples of this quantity are are time, volume, density, speed, energy, and mass.

Law 2

Newton's Law: The acceleration of a particle is proportional to the vector sum of forces acting on it, and is in the direction of this vector sum.

Force Systems

any arrangement where two or more forces act on a body or on a group of related bodies

Vector Quantities

are those quantities that possess both magnitude and direction, and may be added geometrically.

Scalar Quantities

are those quantities that possess magnitude only and may be added arithmetically.

Force System

collection of forces acting at specified locations. Set of forces in a free body diagram.`

Parallelogram Law

rule for vector addition. One obtains the sum of all vectors by placing them head to tail and drawing the vector from the free tail to the free head.

Concurrent Force

two or more forces acting in conjunction on a single point; when the lines of action pass through a common point;

Scalar and Vector Quantities

vectors have magnitude and direction while scalars only have manittude

Non-concurrent

when the lines of action are neither concurrent nor parallel

Parallel Force

when the lines of action are parallel to one another;

Non-Coplanar Forces

when the lines of action of all forces do not lie in one plane

Coplanar Forces

when the lines of action of all forces lie in one plane

Rigid Body

It is defined as a definite amount of matter the parts of which are fixed in position relative to each other

Vector Quantities

possess direction as well as magnitude, and must obey the parallelogram law of addition as described later in this article. Example of this quantity are displacement, velocity, acceleration, force, moment, and momentum.

Law 1

Newton's Law:A particle remains at rest or continues to move with uniform velocity (in a straight line with a constant speed) if there is no unbalanced force acting on it.

Principle of transmissibility

The external effect of a force on a body is the same for all points of application along its line of action.

Law 3

The forces of action and reaction between interacting bodies are equal in magnitude, opposite in direction, and collinear (they lie on the same line).

Parallelogram Law

The resultant of two forces is the diagonal of the parallelogram formed on the vectors of these forces.

Pound/multiples of the pound

The unit of force commonly used in the united states

a. The forces are equal in magnitude; b. The forces are oppositely directed; c. The forces are co-linear in action.

Two forces are in equilibrium only when all of the following conditions exist:

True

Two forces are in equilibrium only when equal in magnitude, opposite in direction, and collinear in action

Rigid body

When the change in distance between any two of its points is negligible for the purpose at hand.

Free Body Diagram

a sketch of the action and reaction forces on an isolated part, or free body, of the system being considered or of the whole system itself.

Rigid bodies

distance between two given points that remain constant regardless of external forces exerted on it.

Free Body Diagram

graphic, symbolic representation of A body with vectors/forces are represented

Force

interaction between two physical objects. Proportional to acceleration.

Particle

is a body of negligible dimensions

Mass

is a measure of the inertia of a body, which is its resistance to a change of velocity. Mass can also be thought of as the quantity of matter in a body. The mass of a body affects the gravitational attraction

Resultant force

is a single force that represents the net effect of a force system.

Force

is the action of one body on another.

Space

is the geometric region occupied by bodies whose positions are described by linear and angular measurements relative to a coordinate system. For three-dimensional problems, three independent coordinates are needed. For two-dimensional problems, only two coordinates are required.

Time

is the measure of the succession of events and is a basic quantity in dynamics. Time is not directly involved in the analysis of statics problems.

Mechanics

is the physical science which deals with the effects of forces on objects

U.S. Customary units

or British system of units, also called the foot-pound- second (FPS) system, has been the common system in business and industry in English-speaking countries.

Statics

part of mechanics which concerns the equilibrium of bodies under action of forces

Dynamics

part of mechanics which concerns the motion of bodies.


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