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PROPRIETARY MATERIAL. © 2013 The McGraw-Hill Companies, Inc. All rights reserved. No part of this Manual may be displayed, 
reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited 
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you are using it without permission. 
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PROBLEM 12.F9 
Four pins slide in four separate slots cut in a horizontal circular plate as 
shown. When the plate is at rest, each pin has a velocity directed as 
shown and of the same constant magnitude u. Each pin has a mass m and 
maintains the same velocity relative to the plate when the plate rotates 
about O with a constant counterclockwise angular velocity ω. Draw the 
FBDs and KDs to determine the forces on pins P1 and P2. 
 
SOLUTION