A truck pulls boxes up an incline plane. The truck can exert a maximum force of #2,400 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #5/3 #, what is the maximum mass that can be pulled up at one time?
The truck will be able to pull up to 144 kg.
This calculation is neglecting any friction or gravity acting on the truck, so it's net force is 2400 N up the slope. Also, I'll take theta as
The parallel component of the gravitational force on the box is given by
This is the force that gravity exerts on the box down the slope.
The normal force acting on the box is given by the perpendicular component of the gravitational force
The frictional force is then given by