A truck pulls boxes up an incline plane. The truck can exert a maximum force of #5,600 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #7/6 #, what is the maximum mass that can be pulled up at one time?
1 Answer
May 1, 2016
Answer:
979 kg
Explanation:
Note, by definition, an inclined plane cannot have an inclination more than
here
So, as we can easily observe in the picture, the forces that oppose will be (m is expressed in

gravitational pull:
#mgsintheta = 9.8xxsqrt3/2 m=8.49mN # 
frictional force, opposite to the direction of tendency of movement:
# mumgcostheta = 7/6xx9.8xx1/2 mN = 5.72m N#
Hence total is:
So, for the truck the to be able to pull it up, the maximum force it can exert must be more than this: