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King Fahd University of Petroleum & Minerals

Learn about the change in magnitude and direction of velocity in rectangular coordinates. Explore normal and tangential coordinates for circular paths and problems involving y = f(x). Topics include free-body diagrams, coordinate systems, and forces acting in different directions.

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King Fahd University of Petroleum & Minerals

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  1. King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 12

  2. Rectangular Coordinates

  3. Change in magnitude of velocity Change in velocity’s direction Normal and Tangential CoordinatesFor circular path and y = f (x) problems

  4. n q q Free-Body Diagram • Select the object • Establish n, t, b coordinate system • Set an always acts in the positive n direction • Assume at acts in the positive t • Set W = mg always acts in a vertical direction–downward • Set normal force FN along normal line • Set frictional force Ff opposite to t direction • = tan-1(dy/dx) n an Ff at FN t mg

  5. Review • Example 13-6 • Example 13-7 • Example 13-8 • Example 13-9

  6. Problem 13.8 v = 65 ft/s aA = ? NA=? smooth slope W = 150 lb

  7. Problem 13.68 m = 30kg T = ? At 0 degree

  8. Problem 13-80 w =5 lb k =10 lb/ft unstretched length of 3m, N & a = ?

  9. Thank You

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