A truck pulls boxes up an incline plane. The truck can exert a maximum force of $2, 500 N$ $2,500 N$ . If the plane's incline is $\frac{7 π}{8}$ $(7 pi )/8$ and the coefficient of friction is $\frac{5}{3}$ $5/3$ , what is the maximum mass that can be pulled up at one time?

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Answer 1 · 2016-04-29T10:25:53

$m \leq 132, 56 k g$ $m<=132,56" " kg$

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$2500 \geq m \cdot g \cdot sin α + k \cdot m \cdot g \cdot cos α$ $2500>=m*g*sin alpha+k*m*g*cos alpha$

$2500 \geq m (g \cdot sin α + k \cdot g \cdot cos α)$ $2500 >=m(g*sin alpha+k*g*cos alpha)$

$m \leq \frac{2500}{g \cdot sin α + k \cdot g \cdot cos α}$ $m<=2500/(g*sin alpha+k*g*cos alpha)$

$k = \frac{5}{3} g = 9, 81 \frac{m}{s^{2}} α = 22, 5^{o}$ $k=5/3" "g=9,81 m/s^2" "alpha=22,5 ^o$

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

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

$m<=132,56" " kg$

A truck pulls boxes up an incline plane. The truck can exert a maximum force of 2,500 N2,500N2,500 N. If the plane's incline is (7 pi )/8 7π8(7 pi )/8 and the coefficient of friction is 5/3 535/3 , what is the maximum mass that can be pulled up at one time?