Exam 3 Statics

The position vector [r] is

any position vector from Pt. O to the line of action of the force

Uaxis represents the _____ along the desired axis

unit vector

____ is the position vector from any point on the axis to any point on the line of force action

r

moments quantify the tendency for _____ when a force is applied

angular rotation

The moment arm d is the ______ distance to the line the force acts along

perpendicular

a couple is defined as ___ forces of ____ magnitude acting in _____ directions separated by a perpendicular distance d or r

2, equal, opposite

R is any position vector from the line of action F to the line of action of the

force

The  net external effect of a couple is ___ and the magnitude of the net moment equals ____

0, d(f)

The moment of any force depends only on the

distance between the two forces

the moment of a couple is called a ____ vector (torque)

free

Free Vector: can be moved _____ on the body and have the same external effect on the body

anywhere

When calculating the moment of a couple, use only ____ of the force vectors and the _____. The rotation point is considered to act in the _____ the two forces.

1, d between 2 forces, ½ way point on d arm between

A ____________________________ acts from the point of rotation to the line of action of the force.

basic 3D moment

A _________________________________ (r_AB) runs from one point in space to another point in space.

position vector

A force vector (F) directed along a cable defines ____________________________________ as the head coordinate minus the tail coordinate for the cable..

position vector for a force along a line

A ____________________________acts from any point on the desired rotational axis to the line of action of the force.

moment about an axis

A ___________________________ is the perpendicular distance from point O to the line of action of the force.

basic 2D moment