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?

mgsin⁡θmg \sin \theta

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

mgcos⁡θmg \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=mgcos⁡θR = mg \cos \theta

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

μ=tan⁡θ\mu = \tan \theta

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

When mgsin⁡θ>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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