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 #(7 pi )/8 # and the coefficient of friction is #5/3 #, what is the maximum mass that can be pulled up at one time?

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Answer 1 · 2016-04-29T10:25:53

#m<=132,56" " kg#

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#2500>=m*g*sin alpha+k*m*g*cos alpha#

#2500 >=m(g*sin alpha+k*g*cos alpha)#

#m<=2500/(g*sin alpha+k*g*cos alpha)#

#k=5/3" "g=9,81 m/s^2" "alpha=22,5 ^o#

#m<=2500/((3,75+15,11))#

#m<=2500/(18,86)#

#m<=132,56" " kg#