(Solved): The hydraulic braking system for the truck and trailer is set to produce equal braking forces for ...

The hydraulic braking system for the truck and trailer is set to produce equal braking forces for the two units. If the brakes are applied uniformly for 6 seconds to bring the rig to a stop from a speed of \( 33 \mathrm{mi} / \mathrm{hr} \) down the 12-percent grade, determine the magnitude of the force \( P \) in the coupling between the trailer and the truck. The truck weighs \( 26,000 \mathrm{lb} \) and the trailer weighs \( 16,000 \mathrm{lb} \).