Term

Definition
Study of bodies at rest or in motion. 


Term

Definition
Study of bodies at rest or in equilibrium. 


Term

Definition
Which six principles of Mechanics apply most often in statics. 1. Law of addition of forces 2. Principle of transmissibility of forces 3.Newton's first law 4.Newton's 2nd law 5.Newton's 3rd law 6.Newton's Law of Gravitation 


Term
Particle (shape,size ignored) Rigid Body (changes in shape,size ignored) Deformable body (changes " " not ignored) Fluids (Liquids incompressible, gases compressible) 

Definition
Real body simplified for analysis as: 


Term

Definition
Action of one body onto another; characterized by its point of application, magnitude, LOA, and sense 


Term
External or Internal (to the body) Planar or Spatial (one plane or 3D) Concurrent or nonconcurrent (parallel or non parallel) 

Definition


Term

Definition
Parameter possessing magnitude and direction which add according to the parallelogram law. Ex. displacements, velocities, accelerations. 


Term

Definition
Parameter possessing magnitude but not direction. Ex. mass, volume, temperature 


Term

Definition
______ vectors have well defined points of app. that cannot be changed without affecting an analysis. 


Term

Definition
_____ vectors may be freely moved in space without changing their effect on an analysis. 


Term

Definition
_____ vectors may be applied anywhere along their line of action without affecting an analysis. 


Term

Definition
______ vector of a given vector has the same magnitude and the opposite direction. 


Term
R^{2} = P^{2} + Q^{2} 2PQcosB
R = P + Q 

Definition


Term
commutative
P + Q = Q + P
associative
P + Q + S = (P + Q) + S = P + (Q + S) 

Definition


Term

Definition
Set of forces which all pass through the same point 


Term

Definition
two or more force vectors which, together, have the same effect as a single force vector. 


Term

Definition
When the resultant of all forces acting on a particle is zero, the particle is in... 


Term
If the resultant force on a particle is zero, the particle will remain at rest or will continue at constant speed in a straight line. 

Definition


Term

Definition
A sketch showing the physical conditions of the problem. 


Term

Definition
A sketch showing only the forces on the selected particle. 


Term

Definition
A collection of forces acting at specific points of a rigid body is called a _____. Forces acting on the SAME BODY 


Term

Definition
Two systems of forces are said to be _______ if they have the SAME EFFECT on the rigid body. 


Term
Dot Product (scalar product) 

Definition
The result of this operation is scalar (numerically it could be postive or negative) It requires two vectors (binary operation). The product of the magnitudes of each of the two vectors and the angle between them. 


Term
Multiplying it by a unit vector along a known axis. 

Definition
To convert a scalar into a vector what operation is necessary which we learned in Chap. 2? 


Term
Commutative P•Q = Q•P
Distributive P•(Q_{1} + Q_{2}) = P•Q_{1} + P•Q_{2}
Not associative (P•Q)•S = undefined 

Definition


Term
Determine the angle given the two vectors.
Determine the projection of one vector along a given axis. 

Definition
Two main applications of the dot product. 


Term
Cross product (vector product) 

Definition
_______ of two vectors P and Q is defined as the new vector V which satisfies the following conditions.
 LOA of V is perpendicular to plane containing P and Q
 Magnitude of V is V = PQsinΘ
 Direction of V is obtained from the righthand rule



Term
Not commutative QxP = (PxQ)
Distributive Px(Q_{1} + Q_{2}) = PxQ_{1} + PxQ_{2}
Not associative (PxQ)xS not= Px(QxS) 

Definition
Vector products ( cross products) are.... 


Term

Definition
is thus a measure of the effect of a force on a rigid body the tendency for roation (sometimes called a torque) 


Term

Definition
Two forces of equal magnitude, opposite in direction AND their LOA separated by a finite distance. 


Term
ZERO
Body is not in equilibrium b/c both forces tend to rotate the rigid body. 

Definition
Net (resultant) force of a couple... 


Term

Definition
Obey the law of addition of vectors, are free vectors the POA is not significant, may be resolved into component vectors. 


Term

Definition
The three forces may now be replaced by an equivalent force vector and couple vector. 


Term

Definition
A system of forces may be replaced by a collection of _______ acting at a given point O. 


Term

Definition
Two systems of forces are _______ if they can be reduced to the same forcecouple system. 


Term

Definition
The forcecouple system at O may be moved to O' with the _______ of the moment of R about O' 


Term
mutually perpendicular
single force
new LOA 

Definition
If the resultant force and couple at O are __________, they can be replaced by a _______ acting along a ______ 


Term
1. the forces are concurrent
2. the forces are coplanar
3. the forces are parallel 

Definition
The resultant forcecouple system for a system of forces will be mutually perpendicular if... 


Term
∑F acting on it is zero (no net translational effect)
∑M due to all forces about any arbitrary point is also zero (no net rotational effect) 

Definition
The necessary and sufficient conditions of equilibrium for a rigid body is that... 


Term

Definition
∑F = 0
∑M_{o} = 0
These two vector equations yield... 


Term

Definition
...are responses of one rigid body on to another due to the constraints placed on the system of rigid bodies to serve a certain purpose. They prevent the 2nd body from translation or rotation or both. Are either forces or couples or both and thus provide required constraints. 


Term
 # of unknowns > # of independent equations
 Fewer # of unknowns than equations, partially constrained
 Equal # of unknowns and equations but improperly constrained


Definition
Statically Indeterminate Reactions 


Term
concurrent or parallel. If there is no single point of intersection then we could not show the sum of the moments about one point is zero. 

Definition
For equilibrium of a threeforce body the lines of action of the three forces must be ________ or ________ 

