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Forces and Free-Body Diagrams

AP Physics 1· difficulty 3/5

A block rests on an incline at angle θ\theta. The coefficient of static friction is μs=0.40\mu_s = 0.40. What is the <strong>maximum</strong> angle θ\theta before the block starts to slide?

  • A

    cos⁡−1(0.40)≈66∘\cos^{-1}(0.40) \approx 66^\circ

  • B

    It never slides for θ<45∘\theta < 45^\circ

  • C

    sin⁡−1(0.40)≈24∘\sin^{-1}(0.40) \approx 24^\circ

  • D

    tan⁡−1(0.40)≈22∘\tan^{-1}(0.40) \approx 22^\circ

    check_circle

Explanation

At the verge of slipping, tan⁡θc=μs\tan\theta_c = \mu_s, so θc=tan⁡−1(0.40)≈21.8∘\theta_c = \tan^{-1}(0.40) \approx 21.8^\circ.

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AP Physics 1 · Forces and Free-Body Diagrams Practice Question | Acemy