Module 2 - Equivalent System Forces Flashcards
free vector perpendicular to the
plane containing the two forces
moment of a couple
properties of vector product
- Not commutative
- Follows distributed property
- Not associative
a pair of equal and opposite forces acting at a distance apart, creating rotation without translation (movement)
couples
are said to be equivalent if they have the same effect on the rigid body (same moment)
couples
States that the conditions of
equilibrium or motion of a rigid body will remain unchanged if a force F acting at a given point of the rigid body is replaced by a force F’ of the same magnitude and same direction, but acting at a different point, provided that the two forces have the same line of action
principle of transmissibility
Forces acting on a particle
Fixed / Bound vectors
had a well-defined point of application
Fixed / Bound vectors
Limitations of Principle of Transmissibility
internal forces
deformations
Most bodies considered in elementary mechanics are assumed to be __________ which means it does not deform
rigid
does not depend on the point of application but on its line of action
moment of force about a point
properties of scalar/dot product
- Commutative
- Distributive
- Not associative
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
varignon’s theorem
tends to make the body rotate
couples
point of application does not matter as long as the line of action remains unchanged
Sliding vectors
Forces acting on a rigid body
Sliding vectors
it states that the moment of a force about a point is equal to the sum of the moments of its components about the same point
Varignon’s Theorem
a vector that is attached to a specific point and cannot be moved without changing its effect
fixed/bound vector
measures its rotational effect
moment of a couple
a vector that can be moved along its line of action without changing its effect on a rigid body
sliding vector
