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Physics / College Physics 1 / Chapter 9 / Problem 34

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Solved: A father lifts his child as shown in Figure 9.43.

Chapter 9, Problem 34

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QUESTION:

A father lifts his child as shown in Figure \(9.43\). What force should the upper leg muscle exert to lift the child at a constant speed?

Figure \(9.43\) A child being lifted by a father’s lower leg.

Equation Transcription:

$9.43$

Text Transcription:

9.43

Questions & Answers

QUESTION:

A father lifts his child as shown in Figure \(9.43\). What force should the upper leg muscle exert to lift the child at a constant speed?

Figure \(9.43\) A child being lifted by a father’s lower leg.

Equation Transcription:

$9.43$

Text Transcription:

9.43

ANSWER:

Step 1 of 2:

A child is sitting on the leg of the father and the father tries to lift the child. The center of gravity passes through the middle of the leg. Masses of the leg and the child are given. The pivot is located at the knee. We are going to find the force (FQ) exerted on the upper leg while lifting the child at a constant speed.

The mass of the child $m sub c h i l d \ equals \ 10.0 \ kg$

The mass of the leg $m sub l e g \ equals \ 4.0 \ kg$

The acceleration due to gravity $g \ equals \ 9.8 \ m times s super minus 2$

The perpendicular distance between the pivot and the point where the force exerted $r \ equals \ 2.0 \ cm$

The perpendicular distance between the pivot and the center of the leg $r super prime \ equals \ 20.0 \ cm$

The perpendicular distance between the pivot and the child $r super double prime \ equals \ 38.0 \ cm$

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