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Lecture 10 - Lecture 10 pls-10.1 Equilibrium Applications...

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Lecture 10 pls-10.1 Equilibrium Applications of Newton’s 2 nd Law 1. Equilibrium If 0 = i i F r for an object, then the object is in equilibrium. Clicker questions 1 – 3 . 2. The Four-Step Method 4 basic steps to multi-force, equilibrium problems: 2. Some Examples Example 1 . What is the tension in each rope? (The box has mass m .) 60° 60° (i) Always (!) draw a free-body diagram (ii) Choose a set of perpendicular y x axes and resolve all forces into components (iii) Apply component form of N’s 2 nd law: 0 = i ix F , 0 = i iy F (iv) The rest is algebra…
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Lecture 10 pls-10.2 (i) Free-body diagram – diagram of all the forces acting on the object. Locate tails of all forces at the same point. Clicker question 4 . (ii) Pick x-y axes, resolve forces – pick axes so that as many forces as possible point along those axes. Note: this diagram is equivalent to the free-body diagram, just expressed in term of y x components. (iii) Apply N’s 2 nd law - 0 = i ix F , 0 = i iy F x direction: 0 60 sin 60 sin 1 2 = o o T T y direction: 0 60 cos 60
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