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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. Applying Newton’s Second Law (F=ma) to more complex problems. Recall,. Motion in Two-Dimensions.

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slide1

Force and Motion-IIApplying Newton’s Second Law to More Complex Problems:The Atwood Machine and the Inclined Plane.

Lecture 5

Thursday:29 January 2004

motion in two dimensions
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.
what do we know
What do we know?
  • Is tension the same for both masses?
  • Is acceleration the same for both masses?
  • Is the acceleration equal to g?
slide9

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.

slide10
N - m1g cos q = 0 m2g - T = m2a
  • - m1g sin q = m1a
  • Add the two equations involving T, in order to eliminate T.