A 2506 pound 4WD vehicle is designed to climb a 13 degree ra

A 2506 pound 4WD vehicle is designed to climb a 13 degree ramp. What is the minimum acceptable coefficient of friction between its tires and the ramp surface?

Solution

force balancing equation

mgSin = µmgCos

calculate the minimum acceptable coefficient of friction between its tires and the ramp surface.

µ=Sin/Cos

µ = tan

µ= tan(13)

µ = 0.2308

therefore, the minimum acceptable coefficient of friction between its tires and the ramp surface is 0.2308