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King Fahd University of Petroleum & Minerals

King Fahd University of Petroleum & Minerals. Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 28. Examples of relative motions “ motion of one part lead to the motion of other parts ” (pin-connected rigid body). Relative Velocity.

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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 # 28

  2. Examples of relative motions “motion of one part lead to the motion of other parts”(pin-connected rigid body)

  3. Relative Velocity Instantaneous Center of Zero Velocity Relative Acceleration Relative-Motion Analysis :

  4. Examples of Non-Relative-Motions )sliding connections and has two independent motion)

  5. Rotating axes Position

  6. Velocity Rotating axes & translating object wr + v

  7. Velocity • VC = Velocity of the Collar, measured from • the X, Y, Z reference • VO = Velocity of the origin O of the x,y,z reference • measured from the X,Y,Z reference • (VC/O)xyz = relative velocity of “C with respect to O” • observer attached to the rotating x,y,z reference • = angular velocity of the x,y,z reference, measured from the X,Y,Z reference rC/O = relative position of “C with respect to O”

  8. Acceleration Acceleration is the time derivative of velocity Rotating axes & translating object (wr + v)

  9. Acceleration of origin Acceleration of the object a r Tangential acceleration w2 r Normal acceleration Coriolis acceleration Rotating axes & translating object (wr + v)

  10. Coriolis acceleration Whenever a point is moving on a path and the path is rotating, there is an extra component of the acceleration due to coupling between the motion of the point on the path and the rotation of the path. This component is called Coriolis acceleration. First measured by the French engineer G.C. Coriolis Important in studying the effect “force and acceleration” of earth rotation on the rockets and long-range projectiles

  11. Recall cylindrical coordinate Rearrange Compare !

  12. Recall – Cylindrical coordinate Coriolis acceleration

  13. Example 16-20 aC/D = ? wDE = ? aDE= ?

  14. Thank You

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