A truck pulls boxes up an incline plane. The truck can exert a maximum force of #2,500 N#. If the plane's incline is #(3 pi )/8 # and the coefficient of friction is #1/7 #, what is the maximum mass that can be pulled up at one time?

1 Answer
P dilip_k
Apr 6, 2016

Here
Force of gravitational pull along inclined plane + force of friction = Total maximum force
If maximum mass pulled = #mkg#
Force of gravitational pull along inclined plane # =mgsintheta#
force of friction #=mumgcostheta#

#mgsintheta +mumg costheta =2500#

#mxx9.8xx(sin(3pi/8)+1/7xxcos(3pi/8))=2500#
#m=274kg#

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