Coefficient of Friction - Harder Problems (AQA A-Level Mathematics): Quizzes

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Coefficient of Friction - Harder Problems
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What is the formula for static friction when preventing motion?

Ffriction≤μsFnormalF_{\text{friction}} \leq \mu_s F_{\text{normal}}

What is the formula for kinetic friction when an object is moving?

Ffriction=μkFnormalF_{\text{friction}} = \mu_k F_{\text{normal}}

On an inclined plane, which formula gives the weight component parallel to the slope?

mgsin⁡(θ)mg \sin(\theta)

In the example, what is the coefficient of friction for the box on the 20° plane?

μ≈0.3640\mu \approx 0.3640

In the example, what is the maximum possible value of force P?

Approximately 82.24 N

How is horizontal force P resolved parallel to a 20° inclined plane?

Pcos⁡20°P \cos 20°

When may the normal force not equal mgmg?

When other forces act at angles

When should you use maximum static friction Ffriction=μsFnormalF_{\text{friction}} = \mu_s F_{\text{normal}}?

When object is on the verge of moving

With force P at 20° incline, what is the perpendicular equilibrium equation?

R=Psin⁡20°+10gcos⁡20°R = P \sin 20° + 10g \cos 20°

What law should be applied to solve for unknowns in friction problems?

Newton's second law: F=maF = ma

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