An object with a mass of $8 k g$ $8 kg$ is on a plane with an incline of $- \frac{π}{6}$ $- pi/6$ . If it takes $9 N$ $9 N$ to start pushing the object down the plane and $4 N$ $4 N$ to keep pushing it, what are the coefficients of static and kinetic friction?

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An object with a mass of $8 k g$ $8 kg$ is on a plane with an incline of $- \frac{π}{6}$ $- pi/6$ . If it takes $9 N$ $9 N$ to start pushing the object down the plane and $4 N$ $4 N$ to keep pushing it, what are the coefficients of static and kinetic friction?

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Answer 1 · 2017-07-01T07:16:09

The static friction coefficient is $0.13$ $0.13$ and kinetic friction is $0.05$ $0.05$ .

Explanation:

$μ m g cos θ$ $mu mgcostheta$ =maximum force by which the thing is about to move.
$\Rightarrow μ m g cos θ = 9$ $=>mu mgcostheta=9$ (as given)
$\Rightarrow μ = \frac{9 \times 2}{8 \times 9.8 \times \sqrt{3}}$ $=>mu=(9×2)/(8×9.8×sqrt3)$
$\Rightarrow μ = 0.13$ $=>mu=0.13$ (static)
Now same as in the case of dynamic friction,
$\Rightarrow μ = \frac{4 \times 2}{8 \times 9.8 \times \sqrt{3}}$ $=>mu=(4×2)/(8×9.8×sqrt3)$
$\Rightarrow μ = 0.05$ $=>mu=0.05$ (dynamic)

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An object with a mass of $8 k g$ $8 kg$ is on a plane with an incline of $- \frac{π}{6}$ $- pi/6$ . If it takes $9 N$ $9 N$ to start pushing the object down the plane and $4 N$ $4 N$ to keep pushing it, what are the coefficients of static and kinetic friction?

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Explanation:

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An object with a mass of 8kg8 kg is on a plane with an incline of −π6 - pi/6 . If it takes 9N9 N to start pushing the object down the plane and 4N4 N to keep pushing it, what are the coefficients of static and kinetic friction?

1 Answer

Explanation:

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