Understanding Static Equilibrium in Rigid Bodies
Explain the two conditions necessary for a rigid body to be in static equilibrium. In your answer, discuss how the requirements \(\sum \vec{F}_{ext}=0\) and \(\sum \vec{\tau}_{ext}=0\) ensure that the body remains at rest.
Analyzing Torque Equilibrium in Structural Components
Consider a horizontal beam fixed at a pivot point. The beam is subjected to two force vectors applied at different points along its length.\n\nPart (a) involves calculating the net torque about the pivot using the given forces.\n\nPart (b) requires determining the condition for structural stability based on the net torque computed.