A block weighing $4 k g$ $4 kg$ is on a plane with an incline of $\frac{π}{2}$ $(pi)/2$ and friction coefficient of $\frac{4}{5}$ $4/5$ . How much force, if any, is necessary to keep the block from sliding down?

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A block weighing $4 k g$ $4 kg$ is on a plane with an incline of $\frac{π}{2}$ $(pi)/2$ and friction coefficient of $\frac{4}{5}$ $4/5$ . How much force, if any, is necessary to keep the block from sliding down?

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Answer 1 · 2016-03-15T09:50:58

$F \geq 49, 05 N$ $F>=49,05" "N$

Explanation:

enter image source here
$F_{f} = F \cdot μ μ = \frac{4}{5}$ $color(brown)(F_f)=color(red)(F)*mu" "mu=4/5" "color(brown)$
$F_{f} = F \cdot \frac{4}{5}$ $color(brown)(F_f)=color(red)(F)*4/5$
$F_{f} \geq G$ $color(brown)(F_f) >=color(green)(G)$
$Object is not slides;$ $"Object is not slides;"$
$if the friction force is equal or greater than weight of object$ $"if the friction force is equal or greater than weight of object"$
$\frac{4}{5} \cdot F_{f} \geq m g$ $4/5*F_f>=mg$
$\frac{4}{5} \cdot F \geq 4 \cdot 9, 81$ $4/5*F>=4*9,81$
$\frac{4}{5} \cdot F \geq 39, 24$ $4/5*F>=39,24$
$F \geq \frac{5 \cdot 39, 24}{4}$ $F>=(5*39,24)/4$
$F \geq 49, 05 N$ $F>=49,05" "N$

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A block weighing $4 k g$ $4 kg$ is on a plane with an incline of $\frac{π}{2}$ $(pi)/2$ and friction coefficient of $\frac{4}{5}$ $4/5$ . How much force, if any, is necessary to keep the block from sliding down?

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Explanation:

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A block weighing 4 kg4kg4 kg is on a plane with an incline of (pi)/2π2(pi)/2 and friction coefficient of 4/5454/5. How much force, if any, is necessary to keep the block from sliding down?

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A block weighing $4 k g$ $4 kg$ is on a plane with an incline of $\frac{π}{2}$ $(pi)/2$ and friction coefficient of $\frac{4}{5}$ $4/5$ . How much force, if any, is necessary to keep the block from sliding down?