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Chapter 3
1 Flashcard Deck
Chapter 3
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Component Vector
Represents the components of a vector.
Position of Vectors
A vector may be drawn anywhere, without regard to the position of the point to which it applies.
Vector Addition
The sum of two vector quantities is a quantity whose effect is the same as the combined effect of the two vectors.
Vector quantity
A quantity that has magnitude, direction, and sense, such as force, velocity, acceleration.
Instantaneous Axis of Velocity
Each member of a machine is either rotating about a fixed axis or about a moving axis. Instantaneously this moving axis may be thought of as a stationary axis with properties similar to a fixed axis.
Velocities in a Machine
In analyzing the operation of a machine, it is necessary to consider the motion of the various members or resistant bodies constituting the machine.
Rotating and Oscillating Cranks
The magnitude of the instantaneous linear velocity of a point on a revolving body, rotating crank, or oscillating crank is proportional to the distance of that point from the axis of rotation of the body or crank.
Scalar quantity
A quantity that has magnitude only, such as 1 ft, 2 lb, etc.
Resultant Vector
The vector obtained by adding together the component vectors.
Components
The quantities added together to obtain the resultant
Vector origin or tail
The initial end of a line that represents a vector.
Vector Composition
The process of obtaining the resultant of any number of vectors.
Resolution and Composition
If the velocity of one point on a body is known, the velocity of any other point on that body may be obtained by resolving the known velocity vector into components along and perpendicular to the line joining these points and making one of the components of the velocity of the other point equal to the component
Vector Resolution
The reversed process of breaking up a vector into its component vectors.
Resultant
The sum of the quantities added together to obtain the resultant vector.
Scholarly Assistant's Insights
Chapter 3 covers vectors, vector addition, quantities, velocities in machines, and vector composition.
Physics
Vectors
Mechanics
Engineering
Machine Operations
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