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# Chapter 16

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R.C. Hibbeler Engineering Mechanics Dynamics solution manual

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### Chapter 16

12. 12. 91962_06_s16_p0513-0640 6/8/09 2:12 PM Page 524 © 2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced, in any form or by any means, without permission in writing from the publisher. 16–18. Gear A is in mesh with gear B as shown. If A starts rA ϭ 25 mm a from rest and has a constant angular acceleration of aA = 2 rad>s2, determine the time needed for B to attain an rB ϭ 100 mm angular velocity of vB = 50 rad>s. A Angular Motion: The angular acceleration of gear B must be determined first. Here, aA rA = aB rB. Then, B a = a b(2) = 0.5 rad>s2 rA 25 aB = rB A 100 The time for gear B to attain an angular velocity of vB = 50 rad>s can be obtained by applying Eq. 16–5. vB = (v0)B + aB t 50 = 0 + 0.5t t = 100 s Ans. 524