A truck pulls boxes up an incline plane. The truck can exert a maximum force of $4, 000 N$ $4,000 N$ . If the plane's incline is $\frac{π}{3}$ $pi/3$ and the coefficient of friction is $\frac{4}{3}$ $4/3$ , what is the maximum mass that can be pulled up at one time?

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A truck pulls boxes up an incline plane. The truck can exert a maximum force of $4, 000 N$ $4,000 N$ . If the plane's incline is $\frac{π}{3}$ $pi/3$ and the coefficient of friction is $\frac{4}{3}$ $4/3$ , what is the maximum mass that can be pulled up at one time?

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Answer 1 · 2017-05-06T21:26:09

Let the maximum mass that can be pulled at one time be $m$ $m$ . enter image source here
The free body diagram of the block is shown in the figure above
Here, $F = m g sin (\frac{π}{3}) + μ m g cos (\frac{π}{3})$ $F=mgsin(pi/3)+mumgcos(pi/3)$
Putting the values of $F and μ$ $F and mu$
We get
$4000 = m [10 \times \frac{\sqrt{3}}{2} + \frac{4}{3} \times 10 \times \frac{1}{2}]$ $4000=m [10xxsqrt3/2+4/3xx10xx1/2]$
Now the value of M can be calculated

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A truck pulls boxes up an incline plane. The truck can exert a maximum force of $4, 000 N$ $4,000 N$ . If the plane's incline is $\frac{π}{3}$ $pi/3$ and the coefficient of friction is $\frac{4}{3}$ $4/3$ , what is the maximum mass that can be pulled up at one time?

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A truck pulls boxes up an incline plane. The truck can exert a maximum force of 4,000 N4,000N4,000 N. If the plane's incline is pi/3 π3pi/3 and the coefficient of friction is 4/3 434/3 , what is the maximum mass that can be pulled up at one time?

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A truck pulls boxes up an incline plane. The truck can exert a maximum force of $4, 000 N$ $4,000 N$ . If the plane's incline is $\frac{π}{3}$ $pi/3$ and the coefficient of friction is $\frac{4}{3}$ $4/3$ , what is the maximum mass that can be pulled up at one time?