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Force and Motion-II Applying Newton’s Second Law to More Complex Problems: The Atwood Machine and the Inclined Plane. Lecture 5 Thursday:29 January 2004
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Applying Newton’s Second Law (F=ma) to more complex problems. Recall,
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Motion in Two-Dimensions Motion in x direction is completely independent of motion in y direction. Break problem into two parts. One regarding x-motion, one regarding y-motion Each part is then handled just like motion in 1-Dim.
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A Common Example: Atwood’s machine
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What do we know? Is tension the same for both masses? Is acceleration the same for both masses? Is the acceleration equal to g?
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Atwood’s Machine
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Inclined Plane
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Problem Solving Tip: Rotate your coordinate system for the inclined plane. Make one axis along the direction of motion. You can leave the coordinate system in the “traditional” form for the hanging weight.
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N - m 1 g cos m 2 g T = m 2 a m 1 g sin = m 1 a Add the two equations involving T, in order to eliminate T.
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Inclined Plane
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