Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Question: A device for exercising the upper leg muscle is shown in Figure , together with a schematic representation of an equivalent lever system. Calculate the force exerted by the upper leg muscle to lift the mass at a constant speed. Explicitly show how you follow the steps in the Problem- Solving Strategy for static equilibrium in Applications of Statistics, Including Problem-Solving Strategies.

The force exerted by the upper leg muscle is 1715 N.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of the 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.

Step 2: Understanding the free body diagram

The diagram for the leg muscles is shown below:

The perpendicular distance of the weight from the pivot point is $r_{⊥} = 35 cm$ .

The perpendicular distance of the applied force from the pivot point is ${r_{⊥}}^{'} = 2.0 cm$ .

Step 3: Calculation of the force

As the upper leg muscle lifts the mass at a constant speed, the net force is zero. So, we can write,

$\begin{array}{rcl} T & = & m g \\ = & 10 \times 9.8 \\ = & 98 N \end{array}$

The torque about the pivot point is zero. So, we can write,

$\begin{array}{rcl} F_{M} {r'}_{⊥} - T r_{⊥} & = & 0 \\ F_{M} & = & \frac{T r_{⊥}}{{r'}_{⊥}} \\ = & \frac{98 \times 35}{2} \\ = & 1715 N \end{array}$

Hence, the force is 1715 N.

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Definition of the force

Step 2: Understanding the free body diagram

Step 3: Calculation of the force

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College Physics (Urone)

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Short Answer

Step by Step Solution

Step 1: Definition of the force

Step 2: Understanding the free body diagram

Step 3: Calculation of the force

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