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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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