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King Fahd University of Petroleum & Minerals

Learn about the procedures for analyzing position, velocity, acceleration, and rotation in general plane motion. Understand how to establish direction, indicate velocities, and solve for unknowns. Examples provided.

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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 # 26

  2. Translation Position Velocity Acceleration

  3. Rotation

  4. General Plane Motion

  5. i + j k Procedure for Analysis • Establish the direction of x and y • Indicate the direction of VA, VB, w, and rB/A • Apply VB= VA+ w x rB/Ain a vector form • Evaluate the cross product • Equate the respective i and j components to obtain two scalar equation • Solve for w and VB

  6. y x Indicate the direction of velocities of points A, B, C

  7. y x Indicate the direction of velocities of points A, B, C

  8. i + j k Example 16-9

  9. Rolling wheels C Rolls without slipping

  10. Center of Zero Velocity B A Permanent Center of zero velocity

  11. D C IC Instantaneous center of zero velocity

  12. Location of IC Knowing vA and w

  13. Location of IC knowing the line of action of vA and vB

  14. Location of IC knowing the line of action of vA and vB

  15. Example 16-10 IC rB/IC w rC/IC q

  16. Example 16-10 C Translation

  17. Example 16-11

  18. Example

  19. Example 16-12

  20. Thank You

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