A truck pulls boxes up an incline plane. The truck can exert a maximum force of #4,000 N#. If the plane's incline is #pi/3 # and the coefficient of friction is #4/3 #, what is the maximum mass that can be pulled up at one time?

1 Answer
May 6, 2017

Let the maximum mass that can be pulled at one time be #m#.enter image source here
The free body diagram of the block is shown in the figure above
Here,#F=mgsin(pi/3)+mumgcos(pi/3)#
Putting the values of #F and mu#
We get
#4000=m [10xxsqrt3/2+4/3xx10xx1/2]#
Now the value of M can be calculated