State two condition for a system to be in static equilibrium

Answer 1

For a system to be in static equilibrium, the following two conditions must be satisfied:

1. First Condition: The net force acting on the system must be zero. This means that all the forces acting on the object balance each other out, resulting in no linear acceleration. Mathematically, this can be expressed as: \[ \sum \vec{F} = 0 \]

2. Second Condition: The net torque acting on the system must be zero. This means that the sum of all torques (moments) about any point must also balance out, resulting in no angular acceleration. Mathematically, this can be expressed as: \[ \sum \vec{\tau} = 0 \]

These two conditions ensure that the system remains at rest and does not change its state of motion.