A mobile crane is lifting a concrete panel weighing 5,000 kg. The load is positioned at a radius of 12 meters from the center of rotation (the crane's pivot point). Calculate the overturning moment exerted by the load.

The same mobile crane relies on its own weight and a counterweight to resist tipping. The crane's center of gravity (including counterweights) sits exactly 3 meters behind the tipping fulcrum (the front outrigger pad). The crane's total mass is 30,000 kg. Calculate the stabilizing moment. Will the crane tip if lifting the 5,000 kg load at a 12m radius?

The crane operator suddenly drops the 5,000 kg load rapidly and hits the brakes hard, causing the load to abruptly decelerate at $4 \text{ m/s}^2$. This dynamic force acts simultaneously with gravity. Calculate the new overturning moment and determine if the crane will tip.

A surveyor is marking grades directly behind an articulated dump truck that is waiting to back up to an excavator. The truck is equipped with a backup alarm, but the surveyor is wearing earplugs and focusing on their transit. The truck reverses, running over the surveyor.

An excavator is digging a trench parallel to a concrete retaining wall, leaving a 3-foot gap between the tracks and the wall. A laborer squeezes between the excavator and the wall to grab a shovel. The operator swings the cab 90 degrees to dump a bucket. The counterweight swings out, crushing the laborer against the wall.