An object with a mass of $5 k g$ $5 kg$ is on a ramp at an incline of $\frac{π}{12}$ $pi/12$ . If the object is being pushed up the ramp with a force of $8 N$ $8 N$ , what is the minimum coefficient of static friction needed for the object to remain put?

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An object with a mass of $5 k g$ $5 kg$ is on a ramp at an incline of $\frac{π}{12}$ $pi/12$ . If the object is being pushed up the ramp with a force of $8 N$ $8 N$ , what is the minimum coefficient of static friction needed for the object to remain put?

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Answer 1 · 2015-12-29T20:28:59

The minimum coefficient of static friction needed is $0.07$ $0.07$ .

Explanation:

You have to visualize the force's diagram of the object.
Assuming the sistem with $x$ $x$ on the surface of ramp and $y$ $y$ on the normal of surface.
There is the orizontal component that is $F(x)=|8N-(mgsin15°)|=4.7N$
If the object remains "put": Friction Force=F(x)
$F(f)=CF(y)=C(mgcos15°)=4.7N$
and $C=4.7/66.33=0.07$ .

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An object with a mass of $5 k g$ $5 kg$ is on a ramp at an incline of $\frac{π}{12}$ $pi/12$ . If the object is being pushed up the ramp with a force of $8 N$ $8 N$ , what is the minimum coefficient of static friction needed for the object to remain put?

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An object with a mass of 5 kg5kg5 kg is on a ramp at an incline of pi/12 π12pi/12 . If the object is being pushed up the ramp with a force of 8 N8N 8 N, what is the minimum coefficient of static friction needed for the object to remain put?

1 Answer

Explanation:

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An object with a mass of $5 k g$ $5 kg$ is on a ramp at an incline of $\frac{π}{12}$ $pi/12$ . If the object is being pushed up the ramp with a force of $8 N$ $8 N$ , what is the minimum coefficient of static friction needed for the object to remain put?