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

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

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A father lifts his child as shown in the Figure. What force should the upper leg muscle exert to lift the child at a constant speed?

 

 

**Diagram Explanation: Lever System with a Child on a Swing** This diagram illustrates the mechanics of a lever system where a child is sitting on a swing. - **Components:** - **Fo:** Represents the force applied upward at the pivot point. - **CG (Center of Gravity):** Indicates the balance point of the leg. - **\( w_{\text{leg}} \):** Weight of the leg assumed to be a downward force, marked with a mass \( m_{\text{leg}} = 4.0 \, \text{kg} \). - **\( w_{\text{child}} \):** Weight of the child, also marked with a downward force, with a mass \( M_{\text{child}} = 10 \, \text{kg} \). - **Distances:** - \( r'_1 = 20.0 \, \text{cm} \): Distance from the pivot to the center of gravity (CG) of the leg. - \( r''_1 = 38.0 \, \text{cm} \): Distance from the pivot to the center of gravity of the child's body. - \( r_1 = 2.0 \, \text{cm} \): Distance from the pivot to the point where the upward force \( Fo \) is applied. - **Description:** - The leg and the child are two masses acting on the lever system, causing a downward force due to gravity. - The upward force \( Fo \) is crucial to maintain the balance of this system. - The diagram indicates the strategic positioning and distance of these forces and their respective points of application to understand torque balance in this setup. Understanding this system is essential in biomechanics and physics to comprehend how forces and torques operate in everyday actions, such as playing on a swing.
Transcribed Image Text:**Diagram Explanation: Lever System with a Child on a Swing** This diagram illustrates the mechanics of a lever system where a child is sitting on a swing. - **Components:** - **Fo:** Represents the force applied upward at the pivot point. - **CG (Center of Gravity):** Indicates the balance point of the leg. - **\( w_{\text{leg}} \):** Weight of the leg assumed to be a downward force, marked with a mass \( m_{\text{leg}} = 4.0 \, \text{kg} \). - **\( w_{\text{child}} \):** Weight of the child, also marked with a downward force, with a mass \( M_{\text{child}} = 10 \, \text{kg} \). - **Distances:** - \( r'_1 = 20.0 \, \text{cm} \): Distance from the pivot to the center of gravity (CG) of the leg. - \( r''_1 = 38.0 \, \text{cm} \): Distance from the pivot to the center of gravity of the child's body. - \( r_1 = 2.0 \, \text{cm} \): Distance from the pivot to the point where the upward force \( Fo \) is applied. - **Description:** - The leg and the child are two masses acting on the lever system, causing a downward force due to gravity. - The upward force \( Fo \) is crucial to maintain the balance of this system. - The diagram indicates the strategic positioning and distance of these forces and their respective points of application to understand torque balance in this setup. Understanding this system is essential in biomechanics and physics to comprehend how forces and torques operate in everyday actions, such as playing on a swing.
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