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King Fahd University of Petroleum & Minerals

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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