Coefficient of Friction - Inclined Planes (AQA A-Level Mathematics): Quizzes

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Coefficient of Friction - Inclined Planes
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What is the direction of the normal force RR on a block resting on an inclined plane?

Perpendicular to the slope surface

What is the component of gravitational force parallel to an inclined plane at angle θ\theta?

mgsinθmg \sin \theta

What is the perpendicular component of weight on a slope inclined at angle θ\theta?

mgcosθmg \cos \theta

What is the formula for maximum frictional force on an inclined plane?

Fmax=μRF_{\text{max}} = \mu R

What is the normal force RR on an inclined plane at angle θ\theta?

R=mgcosθR = mg \cos \theta

What is the coefficient of friction μ\mu when a block is just about to slide at angle θ\theta?

μ=tanθ\mu = \tan \theta

When does a block start to slide down an inclined plane?

When mgsinθ>μRmg \sin \theta > \mu R

A 10 kg block on a 30° slope with μ=0.5\mu = 0.5: parallel force is 49 N, FmaxF_{\text{max}} is 42.45 N. Will it slide?

Yes, it will slide

When a block is on the point of moving up a slope, in which direction does friction act?

Down the slope

For a 10 kg box on 30° slope with μ=0.35\mu = 0.35, what is force PP when on point of moving down?

Approx 19.3 N

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