What is static equilibrium, and what conditions must be satisfied for an object to be in static equilibrium?

Static equilibrium occurs when an object is at rest and not experiencing any net force or net torque. The conditions that must be satisfied are:

The sum of all horizontal forces must equal zero:
Σ
𝐹
𝑥
=
0
ΣF
x
​
=0
The sum of all vertical forces must equal zero:
Σ
𝐹
𝑦
=
0
ΣF
y
​
=0
The sum of all torques about any axis must equal zero:
Σ
𝜏
=
0
Στ=0