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Linear Algebra With Applications
Found in: Page 215
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

Leg traction. The accompanying figure shows how a leg may be stretched by a pulley line for therapeutic purposes. We denote by F1 the vertical force of the weight. The string of the pulley line has the same tension everywhere. Hence, the forces role="math" localid="1659529616162" F2 and F3 have the same magnitude as F1. Assume that the magnitude of each force is 10 pounds. Find the angle θ so that the magnitude of the force exerted on the leg is 16 pounds. Round your answer to the nearest degree. (Adapted from E. Batschelet, Introduction to Mathematics for Life Scientists, Springer, 1979.)

The angle θ=2arcoos(0.8)74°

See the step by step solution

Step by Step Solution

Step 1: Draw the diagram below

The diagram is shown below which represents the given condition.

Step 2: Find the angle

Now, from the above diagram:


It is required that:


θrole="math" localid="1659529396473" =2arcoos(0.8)74°

Hence, the required angle is θ=2arcoos(0.8)74°

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