Can a force and a couple acting in the same plane produce equilibrium?

A single force and a coplanar couple together acting on a rigid body cannot produce the state of equilibrium. To produce a state of equilibrium, another couple of equal magnitude and opposite direction in the same plane or in the parallel plane has to exist.

What is a force couple equivalent?

Every set of forces and moments has an equivalent force couple system. This is a single force and pure moment (couple) acting at a single point that is statically equivalent to the original set of forces and moments. This set of an equivalent force and a couple is known as the equivalent force couple system.

What is single equivalent force?

Two forces are said to be equivalent if they have the same magnitude and direction (i.e. they are equal) and produce the same moment about any point O (i.e. same line of action).

Can a couple be balanced by a single force?

A couple CANNOT be put in equilibrium by a single force! A couple can only be put in equilibrium by a moment or another couple of equal magnitude and opposite direction anywhere in the same plane or in a parallel plane.

What happens if the resultant force is zero?

If the resultant force on an object is zero, this means: a moving object continues to move at the same velocity (at the same speed and in the same direction)

When can a force couple system be reduced to a single force?

When can one reduce a force and couple system to a single force?: For a force and couple system if the resultant force and the resultant couple are perpendicular, then one can find an equivalent system with a single force and no couple.

Can a single force balance a couple?

How do you calculate the force of a couple?

A couple is defined as two parallel forces with the same magnitude but opposite in direction separated by a perpendicular distance d. = r x F (using a vector analysis). Here r is any position vector from the line of action of –F to the line of action of F.

What is the resultant of a force and a couple?

A couple consists of two parallel forces that are equal in magnitude, opposite in sense and do not share a line of action. It does not produce any translation, only rotation. The resultant force of a couple is zero.

Which is an equivalent force and couple system?

The resultant of a force and couple system:For any point O,every force and couple system can be made equivalent to a single force passing through Oand a single couple. The single force passing through Ois equal to the resultant force of the original system, and the couple is equal to the resultant moment of the original system around point O.

When can one reduce force and couple system to a single force?

Can a single force be replaced by a parallel couple?

A single force acting at any point O′ of a rigid body can be replaced by an equal and parallel force F acting at any given point O and a couple with forces parallel to F whose moment is M = Fd, d being the separation of O and O′.

When are two Force systems are the same?

Equivalent force systems: Part 1 The basic idea: Two force systems are equivalent if they result in the same resultant force and the same resultant moment.