State the conditions of equilibrium.

The conditions of equilibrium are when the net force and net torque acting on an object are both zero.

In order for an object to be in equilibrium, there must be no net force acting on it. This means that the vector sum of all the forces acting on the object must be zero. Mathematically, this can be expressed as:

ΣF = 0

where ΣF is the vector sum of all the forces.

Additionally, for an object to be in rotational equilibrium, there must be no net torque acting on it. This means that the vector sum of all the torques acting on the object must be zero. Mathematically, this can be expressed as:

Στ = 0

where Στ is the vector sum of all the torques.

These conditions of equilibrium can be used to solve problems involving statics, such as determining the forces acting on a beam or the tension in a rope. It is important to note that these conditions only apply to objects that are not accelerating. If an object is accelerating, then there must be a net force acting on it.

In summary, the conditions of equilibrium are when the net force and net torque acting on an object are both zero. These conditions can be used to solve problems involving statics, but only apply to objects that are not accelerating.