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# King Fahd University of Petroleum & Minerals - PowerPoint PPT Presentation

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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Mechanical Engineering

Dynamics ME 201

BY

Lecture # 28

Examples of relative motions “motion of one part lead to the

motion of other parts”(pin-connected rigid body)

Instantaneous Center of Zero Velocity

Relative Acceleration

Relative-Motion Analysis :

)sliding connections and has two independent motion)

Position

Rotating axes & translating object

wr + v

• 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”

Acceleration is the time derivative of velocity

Rotating axes & translating object

(wr + v)

Acceleration of the object

a r

Tangential acceleration

w2 r

Normal acceleration

Coriolis acceleration

Rotating axes & translating object

(wr + v)

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

Rearrange

Compare !

Recall – Cylindrical coordinate

Coriolis acceleration

aC/D = ?

wDE = ?