A truck pulls boxes up an incline plane. The truck can exert a maximum force of #3,200 N#. If the plane's incline is #pi/8 # and the coefficient of friction is #3/5 #, what is the maximum mass that can be pulled up at one time?

1 Answer
May 23, 2016

Answer:

#m<=350.11 " "kg#

Explanation:

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#T>=m*g*sin alpha+u_k*m*g cos alpha#

#T=3200N#

#U_k=3/5#

#alpha=pi/8#

#T>=m(g*sin alpha +u_k*g*cos alpha)#

#m<=T/(g*sin alpha +u_k*g*cos alpha)#

#m<=3200/(g(sin alpha+u_k cos alpha)#

#m<=3200/(g(0.38+0.6*0.92))#

#m<=3200/(9.14)#

#m<=350.11 " "kg#