Lami theorem

Lami's Theorem : A rigid body is in equilibrium if the sum of the forces acting on it along each line of action is equal to zero. Intuitive Explanation :...

Lami's Theorem:

A rigid body is in equilibrium if the sum of the forces acting on it along each line of action is equal to zero.

Intuitive Explanation:

Imagine a rigid body suspended from a single point. The body will be in equilibrium if the forces acting on it at different points are equal in magnitude but opposite in direction.

Formal Statement:

For a rigid body in a force field, the sum of the forces acting on the body along each line of action must equal zero.

Examples:

A book lying on a table is in equilibrium because the forces of gravity and the normal force from the table are equal in magnitude but opposite in direction.
A chain suspended from a hook is in equilibrium because the forces of gravity and the tension in the chain are equal in magnitude but opposite in direction.
A wheel rolling on a surface is in equilibrium because the forces of gravity, normal force, and friction are equal in magnitude but opposite in direction