Book edition 7th

Author(s) Douglas C. Giancoli

Pages 978 pages

ISBN 978-0321625922

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Short Answer

How close to the edge of the 24.0 kg table shown in Fig. 9–54 can a 66.0 kg person sit without tipping it over?

The person can sit at 0.28 m from the edge without tipping it over.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Concepts

According to the second condition of equilibrium, the torque about any point is zero. In this problem, the table is not tipping over, and the torque about any point is zero.

Step 2: Explanation

The mass of the table is \(m = 24.0\;{\rm{kg}}\).

The mass of the person is \(M = 66.0\;{\rm{kg}}\).

The length of the table is \(L = 2.20\;{\rm{m}}\).

You can assume that the mass of the table is at its middle point.

Let x be the distance of the person from the edge of the table.

Step 3: Calculation

The free-body diagram of the problem is given below.

Now, you know that the second condition for equilibrium is that the torque about any axis is zero. Let the right leg of the table be your rotational axis. Then, for stability, the torque about this point is zero.

Then,

\(\begin{array}{c}mg \times \left( {0.60\;{\rm{m}}} \right) - Mg \times \left( {0.50\;{\rm{m}} - x} \right) = 0\\M\left( {0.50\;{\rm{m}} - x} \right) = m\left( {0.60\;{\rm{m}}} \right)\\\left( {66.0\;{\rm{kg}}} \right) \times \left( {0.50\;{\rm{m}} - x} \right) = \left( {24.0\;{\rm{kg}}} \right) \times \left( {0.60\;{\rm{m}}} \right)\\x = 0.28\;{\rm{m}}\end{array}\).

Hence, the person can sit at 0.28 m from the edge without tipping it over.

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Physics Principles with Applications

Answers without the blur.

Short Answer

How close to the edge of the 24.0 kg table shown in Fig. 9–54 can a 66.0 kg person sit without tipping it over?

Step by Step Solution

Step 1: Concepts

Step 2: Explanation

Step 3: Calculation

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Select your language

Physics Principles with Applications

Answers without the blur.

Short Answer

How close to the edge of the 24.0 kg table shown in Fig. 9–54 can a 66.0 kg person sit without tipping it over?

Step by Step Solution

Step 1: Concepts

Step 2: Explanation

Step 3: Calculation

Most popular questions for Physics Textbooks

Place yourself facing the edge of an open door. Position your feet astride the door with your nose and abdomen touching the door’s edge. Try to rise on your tiptoes. Why can’t this be done?

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