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Chapter 9: Q27PE (page 317)

Two muscles in the back of the leg pull on the Achilles tendon as shown inFigure\({\rm{9}}{\rm{.37}}\). What total force do they exert?

Short Answer

Expert verified

The total force is \({\rm{376}}\;{\rm{N}}\) with upward direction.

Step by step solution

01

Force

A force is an external factor that can change the rest or motion of a body. It has a size and a general direction.

02

Calculation of the force

The net force is zero in equilibrium. The horizontal components of the force balance each other. The net vertical force is,

\(\begin{align}{\rm{F = 200cos20^\circ + 200cos20^\circ }}\\{\rm{ = 2 \times 200cos20^\circ }}\\ \approx {\rm{376}}\;{\rm{N}}\end{align}\)

Hence, the force is \({\rm{376}}\;{\rm{N}}\) directed upward.

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Most popular questions from this chapter

Question: A person working at a drafting board may hold her head as shown inFigure 9.40, requiring muscle action to support the head. The three major acting forces are shown. Calculate the direction and magnitude of the force supplied by the upper vertebrae Fvto hold the head stationary, assuming that this force acts along a line through the center of mass as do the weight and muscle force.

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