A box of mass $$9kg$$ is placed on a rough inclined plane of inclination θ. Its downward motion can be prevented by applying an upward pull of $$20N$$ and it can be made to slide upwards by applying a force $$40N$$. The coefficient of friction between the box and the inclined plane is

Question

A box of mass $$9kg$$ is placed on a rough inclined plane of inclination θ. Its downward motion can be prevented by applying an upward pull of $$20N$$ and it can be made to slide upwards by applying a force $$40N$$. The coefficient of friction between the box and the inclined plane is

Infinity Learn · Accepted Answer

Force required to prevent $$slidingmg($$$$sin$$⁡θ−μ$$cos$$⁡θ$$)=20N$$→(1)Force$$ required to move up $$mg($$$$sin$$⁡θ$$+$$μ$$cos$$⁡θ$$)=40N$$→$$(2)Solving$$ $$(1) & (2) μ$$=13tan$$⁡θ

A box of mass 9kg is placed on a rough inclined plane of inclination $θ$ . Its downward motion can be prevented by applying an upward pull of 20N and it can be made to slide upwards by applying a force 40N. The coefficient of friction between the box and the inclined plane is

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A box of mass 9kg is placed on a rough inclined plane of inclination θ. Its downward motion can be prevented by applying an upward pull of 20N and it can be made to slide upwards by applying a force 40N. The coefficient of friction between the box and the inclined plane is

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Ready to Test Your Skills?

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A box of mass 9kg is placed on a rough inclined plane of inclination $θ$ . Its downward motion can be prevented by applying an upward pull of 20N and it can be made to slide upwards by applying a force 40N. The coefficient of friction between the box and the inclined plane is