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King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 29
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Rigid-Body Motion Types of rigid body planar motion: –Translation –Rotational about fixed axis –General plane motion
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Summary
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r1r1 r2r2 s, v, a
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Example 16-2 Rest A = 2 rad/s 2 P =? a P =? = 10 revelations of B
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Problem 16-14 r G = 80 mm r C = r D = 40 mm r E = r B = 50mm r F = 70 mm G Reverse gear transmission B = ?
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Problem 16-xx
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Translation Position Acceleration AB Velocity AB
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Rotation
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Relative Motion Analysis: Velocity
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Indicate the direction of velocities of points A, B, C x y
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Example 16-9
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Rolling wheels Rolls without slipping C
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IC C D Instantaneous center of zero velocity
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Location of IC knowing the line of action of v A and v B
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Example 16-11
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Example 16-12
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Example
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a B = acceleration of point B a A = acceleration of the base point A = angular acceleration of the body = angular velocity of the body r B/A = relative-position vector drawn from A to B Relative-Acceleration equation
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Rolling wheel with-out slipping G a t =0
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Example 16-17
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Example 16-18
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Examples of Non-Relative-Motions )sliding connections and has two independent motion)
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Velocity
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r Tangential acceleration 2 r Normal acceleration Coriolis acceleration Acceleration of the object Acceleration of origin Acceleration
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Example 16-20a C/D = ? DE = ? DE = ?
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a) the velocity of the ball at this instant b) the coriolis acceleration, show the direction
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