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

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Coefficient of Friction - Harder Problems
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For a block on an incline with no other forces, μ\mu at limiting eqn = ?

tan⁡θ\tan \theta

Weight component down slope for angle θ\theta is:

mgsin⁡θmg \sin \theta

Normal reaction for mass mm on slope θ\theta (no other forces):

mgcos⁡θmg \cos \theta

Static friction condition is best stated as:

F≤μsRF \leq \mu_s R

Kinetic friction is described by:

F=μkRF = \mu_k R

Horizontal PP on incline: component parallel to slope is:

Pcos⁡θP \cos \theta

In the example, μ\mu for 20°20° incline was approx:

0.364

Normal reaction RR for 10 kg on 20° with g=9.81g=9.81:

≈92.09 N

If block tends to slide down slope, friction acts:

Up the slope

Which friction coefficient to use when object is already moving?

μk\mu_k

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