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55 Cards in this Set

  • Front
  • Back
What is meant by a scalar?
A quantity that has only magnitude - no direction, such as temperature.
What is meant by a vector?
A quantity that has both a magnitude and a direction, such as velocity or force.
What is the difference between speed and velocity?
Speed (a scalar) refers to only the magnitude component of velocity (a vector) - how fast you are going without any reference to what direction you are moving in.
What is the defining characteristic of a Cartesian coordinate system?
These axes are perpendicular (orthogonal) to each other.
What is a unit vector?
A vector of unit length (that is, 1 in whatever units you are using) in the direction of one of the axes of a Cartesian coordinate system.
What name is usually used for a unit vector along the X axis of a Cartesian coordinate system? along the Y axis?
i is along the positive X axis_
j is along the positive Y axis
What is the "normal" component of a vector?
The component that is perpendicular to the relevant surface.
What is the name of the component of a vector that is parallel to the relevant surface?
tangential
What is meant by the hypotenuse of a right triangle?
The long side of a triangle that contains a 90 degree angle.
What is the Pythagorean Theorem?
The sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse.
If vector A = 5i - 4j and B = 2i + 6j, what is the sum of A + B?
7i + 2j (add the i components and then add the j components)
If vector A is 3i - j, what is the vector 4A?
4(3i - j) = 12i - 4j (multiply the i coefficient by 4, and then the i coefficiant)
What kind of coordinate system is good for describing rotary movements?
polar coordinate system
What is it that a moment quantifies?
the tendency of a force to cause rotation about an axis (pivot point)
When referring to moments (torques), how is the moment arm defined?
the shortest (perpendicular) distance from the line of the force to the pivot point.
What kind of coordinate system is good for describing rotary movements?
polar coordinate system
How is the magnitude of a moment calculated?
the magnitude of the force times the moment arm
How is the "direction" or sense of a moment determined?
The right hand rule. Curl the fingers of the right hand around the pivot point with the fingers pointing in the direction of the rotation that would be caused by the moment. The sense of the moment is given by the direction of the thumb._
(usually express as 'into the paper' for clockwise or 'out of the paper' for counterclockwise)
If a force is directed at the center of gravity of a rigid object, what type of movement will it tend to cause?
translational (in a straignt line - not rotational)
If a body is rigid, in what simplified way can you think of the distribution of its mass?
as being concentrated at the center of gravity
What are the two conditions of static equilibrium?
1. the sum of forces = 0_
2. the sum of moments = 0
What is a force couple?
a pair of equal but opposite forces offset equally from the center of rotation_
(like hands on a steering wheel)
What type of movement does a force couple tend to cause?
rotation (not translation)
What is Newton's First Law of Motion?
a particle will move at a constant velocity unless acted upon
What is Newton's Second Law of Motion?
F = ma (the net force required to cause acceleration of a rigid body it determined by the product of the mass of the body and on how fast you want it to accelerate)
What is Newton's Third Law of Motion?
For every action there is an equal and opposite reaction
If there is an equal but opposite reaction for every force, why don't the two cancel out resulting in no motion?
the action and reaction are on different bodies
What kind of objects do Newton's Laws of Motion apply to?
particles - all mass concentrated at one point with no volume_
(can often think of a rigid body as a particle if it is uninhibited)
In what kind of situation do Newton's Laws of Motion apply?
inertial reference system (that is, when you are either stationary or moving in a straight line at a constant speed)
What is the basis for Newton's Laws of Motion?
they are empirical - based solely on observation with no theoretical basis
What type of system analysis involves only a description of motion - nothing about the forces required to cause that motion?
kinematics
What type of system analysis includes calculation of the forces involved?
kinetics
How is work defined?
force times the distance an object is moved as a result of that force
How is the potential energy of an elevated weight defined?
the weight of the object times the height to which it is elevated
How is power defined?
power = work / time
How is impulse defined?
force times the length of time that force was applied
How is stress defined?
force per unit area
What kind of load causes an avulsion fracture?
tensile load
When applying a load to an object, how is strain defined?
change in length divided by the original length
When generating a plot, what is the independent variable?
The variable that is controlled as part of an experimental protocol.
It is usually plotted along the x (horizontal) axis.
When generating a plot, what is the dependent variable?
The variable that is measured during the course of an experimental protocol._
It is usually plotted along the y (vertical) axis.
When referring to a stress/strain plot, how is Young's modulus of elasticity, or stiffness, defined?
The slope of the plot in the elastic (linear) region.
This is often expressed as "rise over run".
When referring to a specific solid material, what does isotropic mean?
That it behaves the same in every direction.
(unlike wood or bone - which are anisotropic)
When referring to bending an object, what is meant by the neutral axis?
The region within the object that has neither compressive or tensile stress
What are the two basic varieties of bending?
3 point and 4 point
Where is fracture most likely to occur in 3 point bending?
opposite the middle point
Where is fracture most likely to occur in 4 point bending?
at a point of weakness in the region opposite the 2 middle points
What kind of loading tends to cause sliding or angular distortion?
shear
What kind of loading besides bending also has a neutral axis?
torsional
What kind of fracture results from torsional loading?
spiral fracture
What class of lever has the applied force between the fulcrum and resistance?
3rd class
What class of lever has the fulcrum between the applied force and resistance?
1st class
How is the mechanical advantage of a lever defined?
the moment arm of the applied force divided by that of the resistance
What class of lever always has a mechanical advantage greater that 1?
2nd class
What class of lever can have a mechanical advantage that can be either less than, equal to, or greater than 1?
1st class