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# lecture+notes+15 - 14:440:222 Dynamics (Lecture Note #15)...

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14:440:222 Dynamics (Lecture Note #15) Instructor: Prof. Peng Song Rutgers University

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As the slider block A moves horizontally to the left with v A , it causes the link CB to rotate counterclockwise. Thus v B is directed tangent to its circular path. Which link is undergoing general plane motion? Link AB or link BC? How can the angular velocity, ω of link AB be found? Applications
Planetary gear systems are used in many automobile automatic transmissions. By locking or releasing different gears, this system can operate the car at different speeds. How can we relate the angular velocities of the various gears in the system? Applications (cont’d)

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When a body is subjected to general plane motion, it undergoes a combination of translation and rotation. d r B =d r A +d r B/A Disp. due to translation and rotation Disp. due to translation Disp. due to rotation Point A is called the base point in this analysis. It generally has a known motion. The x’- y’ frame translates with the body, but does not rotate. The displacement of point B can be written: Relative Motion Analysis
The velocity at B is given as :(d r B /dt) = (d r A /dt) + (d r B/A /dt) or v B = v A + v B/A Since the body is taken as rotating about A, v

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## This document was uploaded on 10/31/2011 for the course ENG MECH 232 at Rutgers.

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lecture+notes+15 - 14:440:222 Dynamics (Lecture Note #15)...

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