Table of Contents
What are the conditions for equilibrium of coplanar forces?
A solid body submitted to three forces whose lines of action are not parallel is in equilibrium if the three following conditions apply : The lines of action are coplanar (in the same plane) The lines of action are convergent (they cross at the same point) The vector sum of these forces is equal to the zero vector.
What are the coplanar forces?
Coplanar force systems have all the forces acting in in one plane. They may be concurrent, parallel, non-concurrent or non-parallel. A concurrent coplanar force system is a system of two or more forces whose lines of action ALL intersect at a common point.
What are equilibrium forces?
If the size and direction of the forces acting on an object are exactly balanced, then there is no net force acting on the object and the object is said to be in equilibrium. Because the net force is equal to zero, the forces in Example 1 are acting in equilibrium.
Which force is called coplanar forces?
The forces, whose lines of action lie on the same plane, are known as coplanar forces. 2. Collinear forces.
What is equilibrium of parallel forces?
Coplanar, Non-Concurrent, Parallel Forces Three or more parallel forces are required. They will be in equilibrium if the sum of the forces equals zero and the sum of the moments around a point in the plane equals zero. Equilibrium is also indicated by two sums of moments equal to zero.
What is equilibrium and equilibrant?
is that equilibrium is the condition of a system in which competing influences are balanced, resulting in no net change while equilibrant is a force equal to, but opposite of, the resultant sum of vector forces; that force which balances other forces, thus bringing an object to equilibrium.
What does equilibrium mean in mechanics?
A simple mechanical body is said to be in equilibrium if it experiences neither linear acceleration nor angular acceleration; unless it is disturbed by an outside force, it will continue in that condition indefinitely.
What is equilibrium and Equilibrant?
Can three forces which are not coplanar be in equilibrium?
The sum of the forces must be zero for the system to be in equilibrium. Coplanar, Non-Concurrent, Parallel Forces Three or more parallel forces are required. They will be in equilibrium if the sum of the forces equals zero and the sum of the moments around a point in the plane equals zero.
What is a coplanar vector?
Coplanar vectors are defined as vectors which are lying on the same in a three-dimensional plane. The vectors are parallel to the same plane. It is always easy to find any two random vectors in a plane, which are coplanar.
Can three coplanar forces bring the body in equilibrium?
When three or more coplanar forces are acting at a point and the vector diagram closes, there is no resultant. The forces acting at the point are in equilibrium.