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The two children shown in the figure below are balanced on a seesaw of negligible mass. The first child has a mass of 23.3 kg and sits 1.39 m from the pivot. The second child has a mass of 35.7 kg and sits 0.907 m from the pivot. Use the second condition for equilibrium (net τ = 0) to calculate Fp, the supporting force (in N)exerted by the pivot. (Enter the magnitude.)

The two children shown in the figure below are balanced on a seesaw of negligible mass. The first child has a mass of 23.3 kg and sits 1.39 m from the pivot. The second child has a mass of 35.7 kg and sits 0.907 m from the pivot. Use the second condition for equilibrium (net τ = 0) to calculate Fp, the supporting force (in N)exerted by the pivot. (Enter the magnitude.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The two children shown in the figure below are balanced on a seesaw of negligible mass. The first child has a mass of 23.3 kg and sits 1.39 m from the pivot. The second child has a mass of 35.7 kg and sits 0.907 m from the pivot. Use the second condition for equilibrium (net τ = 0) to calculate Fp, the supporting force (in N)exerted by the pivot. (Enter the magnitude.)

This diagram illustrates the concept of balance on a seesaw. Key Elements Explained: 1. **Children on Seesaw**: - Two children are sitting on either end of the seesaw. - The child on the left has a mass denoted by \( m_1 \) and an associated weight \( w_1 \). - The child on the right has a mass denoted by \( m_2 \) and an associated weight \( w_2 \). 2. **Forces and Distances**: - \( w_1 \) and \( w_2 \) are shown as downward arrows, representing the force of gravity acting on each child. - \( F_p \) is represented by an upward arrow at the pivot point, indicating the support force provided by the seesaw's fulcrum. - \( r_1 \) and \( r_2 \) are the distances from the fulcrum to each child, respectively. 3. **Seesaw Mechanics**: - The seesaw is balanced when the moments (torque) on either side are equal. - The moment is calculated as the product of the weight and the distance from the fulcrum (e.g., \( m_1 \times g \times r_1 = m_2 \times g \times r_2 \)), where \( g \) is the acceleration due to gravity. This diagram serves as a practical example of rotational equilibrium, demonstrating the conditions needed for a seesaw to be in balance.
Transcribed Image Text:This diagram illustrates the concept of balance on a seesaw. Key Elements Explained: 1. **Children on Seesaw**: - Two children are sitting on either end of the seesaw. - The child on the left has a mass denoted by \( m_1 \) and an associated weight \( w_1 \). - The child on the right has a mass denoted by \( m_2 \) and an associated weight \( w_2 \). 2. **Forces and Distances**: - \( w_1 \) and \( w_2 \) are shown as downward arrows, representing the force of gravity acting on each child. - \( F_p \) is represented by an upward arrow at the pivot point, indicating the support force provided by the seesaw's fulcrum. - \( r_1 \) and \( r_2 \) are the distances from the fulcrum to each child, respectively. 3. **Seesaw Mechanics**: - The seesaw is balanced when the moments (torque) on either side are equal. - The moment is calculated as the product of the weight and the distance from the fulcrum (e.g., \( m_1 \times g \times r_1 = m_2 \times g \times r_2 \)), where \( g \) is the acceleration due to gravity. This diagram serves as a practical example of rotational equilibrium, demonstrating the conditions needed for a seesaw to be in balance.
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