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

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Answer 1 · 2016-05-23T17:19:03

$m \leq 350.11 k g$ $m<=350.11 " "kg$

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$T \geq m \cdot g \cdot sin α + u_{k} \cdot m \cdot g cos α$ $T>=m*g*sin alpha+u_k*m*g cos alpha$

$T = 3200 N$ $T=3200N$

$U_{k} = \frac{3}{5}$ $U_k=3/5$

$α = \frac{π}{8}$ $alpha=pi/8$

$T \geq m (g \cdot sin α + u_{k} \cdot g \cdot cos α)$ $T>=m(g*sin alpha +u_k*g*cos alpha)$

$m \leq \frac{T}{g \cdot sin α + u_{k} \cdot g \cdot cos α}$ $m<=T/(g*sin alpha +u_k*g*cos alpha)$

$m \leq \frac{3200}{g (sin α + u_{k} cos α)}$ $m<=3200/(g(sin alpha+u_k cos alpha)$

$m \leq \frac{3200}{g (0.38 + 0.6 \cdot 0.92)}$ $m<=3200/(g(0.38+0.6*0.92))$

$m \leq \frac{3200}{9.14}$ $m<=3200/(9.14)$

$m \leq 350.11 k g$ $m<=350.11 " "kg$

A truck pulls boxes up an incline plane. The truck can exert a maximum force of 3,200 N3,200N3,200 N. If the plane's incline is pi/8 π8pi/8 and the coefficient of friction is 3/5 353/5 , what is the maximum mass that can be pulled up at one time?