For a rigid body to be in equilibrium, two conditions must be met: the sum of all external forces acting on the body must be zero, and the sum of all external torques acting on the body must also be zero.
Chat with our AI personalities
A rigid body will remain in equilibrium when acted upon by a non-parallel coplanar force if the vector sum of all forces acting on the body is zero, and the vector sum of all torques (or moments) acting on the body is also zero. This condition is known as the equilibrium of forces and moments.
Force couples create a turning effect on a rigid body without causing any translation. This affects the stability and equilibrium of the body by creating a moment that counteracts other external forces, helping to maintain balance and prevent rotation.
For two bodies in physical contact to remain in equilibrium, the condition necessary is that the sum of the forces acting on each body must be equal and opposite.
Rest refers to a state of inactivity or lack of motion, while equilibrium is the state of balance in which opposing forces or influences are balanced. Rest is a specific condition where an object is stationary, while equilibrium refers to a broader concept of balance between different factors.
For a body to be in equilibrium, the net force acting on it must be zero, meaning that the forces in all directions are balanced. Additionally, the net torque (or rotational force) acting on the body must also be zero, ensuring that it is not rotating.