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

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Coefficient of Friction - Inclined Planes
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What does the coefficient of friction determine on an inclined plane?

Whether object slides or stays still

In which direction does the normal force RR act on a block on an inclined plane?

Perpendicular to the slope surface

What is the component of gravitational force parallel to a slope at angle θ\theta?

mgsin⁡θmg \sin \theta

What is the component of weight perpendicular to a slope 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 equals the normal force RR on an inclined plane at angle θ\theta?

mgcos⁡θmg \cos \theta

At limiting equilibrium, what does μ\mu equal for a block on a slope at angle θ\theta?

tan⁡θ\tan \theta

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

When mgsin⁡θmg \sin \theta exceeds μR\mu R

A 1010 kg block on a 30°30° slope with μ=0.5\mu = 0.5 has parallel force 4949 N. Will it slide?

Yes, block will slide

For a 1010 kg block on 30°30° slope with μ=0.5\mu = 0.5, what is FmaxF_{\text{max}} (approx.)?

42.4542.45 N

A 1010 kg box on 30°30° slope with μ=0.35\mu = 0.35 held by PP. Find PP when about to move down?

19.319.3 N

When a block moves up a slope, which direction does friction act?

Down the slope

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