Determine the magnitudes of the horizontal and vertical components of the force exerted on the balloon at A by the tether. Solution: From the solution to Problems 10.60, a D 0.0883 m The value of the tension at x D 20 m is T D T0 cosh ax D 50 cosh[ 0.0883 20 ] D 150 N. The slope at x D 20 m (Equation 10.19) is 1. 150 N y 50 N D tan D sinh ax D sinh[ 0.0883 20 ] D 2.84, D so arctan 2.84 D 70.6 . The horizontal and vertical components are Tx D 150 cos D 50 N Ty D 150 sin D 142 N. x 20 m c 2005 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.