(11) Friction and Dynamics of Circular Motion

(11) Friction and Dynamics of Circular Motion - Applying...

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Lecture 12 Applying Newton’s Laws
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Goals of Today’s Lecture Goals of Today’s Lecture Being ableto apply Newton’s laws to any problemthat is not insane.
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EXAMPLE: Incline and pulley, with friction m 2m 35 ° Same system, but μ S = 0.2 and μ k = 0.1 What happens when the system is released?
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m 2m 35 ° N 2mg mg T T x y x Does the system moveat all? net 2 sin35 0.15 F mg mg mg = - = Net force, along the direction of motion, without friction: S,MAX S f N μ = Maximum static friction force: μ S = 0.2 μ k = 0.1 It does not move! Motion without friction S 2 cos35 mg μ = 0.33mg =
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ACT: Magnitude of friction ACT: Magnitude of friction What is themagnitude of thestatic forcein thesystem wejust studied? A. 0.15 mg B. 0.33 mg C. 0.40 mg For thesystem to beat rest, f S should cancel out the resultant of the remaining forces (the net force without friction). Option C is beyond the maximum possible value. Option B would produce a net force to theleft along the incline! net , no f rict ion S,max 0.15 0.33 F mg f mg = = m 2m N 2mg mg T T f S 35 °
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Example: Box on truck A box with mass m = 50 kg sits on theback of a truck. The
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