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King Fahd University of Petroleum

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King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 28 Relative-Motion Analysis : Position ... – PowerPoint PPT presentation

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Title: King Fahd University of Petroleum


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-Motion Analysis
4
Examples of Non-Relative-Motions )sliding
connections and has two independent motion)
5
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
9
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
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12
Recall cylindrical coordinate
Rearrange
Compare !
13
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14
Recall Cylindrical coordinate
15
Example 16-20
aC/D ? wDE ? aDE ?
16
Thank You
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