ES1_Resultant of Forces and Equilibrium of Concurrent, Parallel, Non-concurrent, and Moment Flashcards
Refers to the unit of measurement involving magnitude only
Scalar quantity
Refers to the unit of measurement involving magnitude and direction
Vector quantity
Scalar or Vector?
mass, speed, volume, temperature
Scalar
Scalar or Vector?
force, displacement, velocity, acceleration
Vector
A vector classification having defined points of application that cannot be changed without affecting an analysis [e.g. displacement vector with fixed initial point]
Fixed or Bound Vectors
A vector classification that may be freely moved in space without changing their effect on an analysis [e.g. velocity vector of points in a body in translational motion]
Free Vectors
A vector classification that may be applied anywhere along their line of action without affecting an analysis [e.g. force vector]
Sliding Vector
A vector classification having the same
magnitude and direction
Equal vector
A vector classification which has the same magnitude and the opposite direction of a given vector
Negative Vector
It is characterized by its point of application, magnitude, line of action, and sense.
Force
It is equivalent to the diagonal of a parallelogram which contains the two forces in adjacent legs.
Resultant Force
R^2= P^2 + Q^2 - 2PQcosB
Law of Cosines
When the resultant of all forces acting on a particle is zero, the particle is in ___________
Equilibrium
The measure of the tendency of a force F to make the rigid body rotate about a fixed axis perpendicular to the plane of the force F
Moment of a Force
The larger the force or the longer the ________ (d) , the greater the moment or turning effect.
Moment Arm
SI unit for moment
Nm
US unit for moment
lb.in or lb.ft
The moment about a given point O of the resultant of several concurrent forces is equal to the sum of the moments of the various forces about the same point O.
Varignon’s Theorem
It is made up of two equal, parallel, oppositely directed forces. Sometimes the resultant of a force system will be zero in magnitude and yet have a resultant moment sum
Couples