statics exam 2
A couple is defined as two parallel forces with the same direction but different magnitudes.
F
Forces can be placed anywhere on the free-body diagram since they are free vectors.
F
If a support prevents translation of a body, then the support exerts a couple moment on the body.
F
Which one is NOT correct about systems with improper constraints?
In three dimensions, a body will be improperly constrained if if all the reactive forces are parallel.
Which one describes a concurrent force system?
One in which the lines of action of all the forces intersect at a common point O
A system is equivalent if the external effects it produces on a body are the same as those caused by the original force and couple moment system.
T
For any two-force member to be in equilibrium, the two forces acting on the member must have the same magnitude, act in opposite directions, and have the same line of action, directed along the line joining the two points where these forces act.
T
The external effects caused by a coplanar distributed load acting on a member can be represented by a resultant force.
T
The line of action of the resultant force passes through the centroid (geometric center) of the distributed force volume.
T
The moments of forces passing through points on this axis, and the moments of forces which are parallel to the axis, will then be zero.
T
The only effect of a couple is to produce a rotation.
T
When calculating the moment of a force (M=Fd), "d" is the distance from the point to the force's line of action.
T
When finding the perpendicular distance is too complex, vector analysis becomes an alternative for calculating the moment of a force.
T
Which one is NOT correct about systems with redundant constraints?
These systems can be determined using an accurately drawn free-body diagram
Which one is NOT correct?
a fixed support prevents only rotation of the beam
Which one describes the principle of transmissibility?
a force acting on a body (stick) is a sliding vector since it can be applied at any point along its line of action.
Which one is correct about rigid-body equilibrium?
all
The moment of a force about an axis can be calculated using .........................
dot product
A couple moment is a free vector, which means ......................
it can act at any point
What is NOT correct about the moment of a force?
it has an inverse relationship with the length of the moment arm
Which one is correct about the third set of equations of equilibrium?
it is necessary that points A, B, and C do not lie on the same line.
Finding the perpendicular distance between the two parallel forces of a couple is the center of which analysis strategy?
scalar analysis
Which one is NOT correct about the triple scalar product?
the first row are components of the position vector
Which one describes a coplanar force system?
the lines of action of all the forces lie in the same plane
A resultant couple moment is .........................
the vector sum of all the couple moments of the system
