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A metal seat with mass m1 = 16 kg hangs from one end of a rope that passes over a frictionless pulley attached to the ceiling. A spring scale hangs from the other end of the rope. A girl with mass m2 = 34 kg sitting on the hung seat is pulling the spring scale. The total system is in static equilibrium state. Question:(1) how much does the scale reads(in Newton)? (2). what is the support force of the seat to the girl? (hint 1: write down all the forces exerted on the chair and on the girl separately and demand the net force for each is zero.  hint 2: Newton’s third law says that if there is a force exerted on A by B, then there must be another force exerted on B by A with the same magnitude and in opposite direction)

A metal seat with mass m1 = 16 kg hangs from one end of a rope that passes over a frictionless pulley attached to the ceiling. A spring scale hangs from the other end of the rope. A girl with mass m2 = 34 kg sitting on the hung seat is pulling the spring scale. The total system is in static equilibrium state. Question:(1) how much does the scale reads(in Newton)? (2). what is the support force of the seat to the girl? (hint 1: write down all the forces exerted on the chair and on the girl separately and demand the net force for each is zero.  hint 2: Newton’s third law says that if there is a force exerted on A by B, then there must be another force exerted on B by A with the same magnitude and in opposite direction)

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A metal seat with mass m1 = 16 kg hangs from one end of a rope that passes over a frictionless pulley attached to the ceiling. A spring scale hangs from the other end of the rope. A girl with mass m2 = 34 kg sitting on the hung seat is pulling the spring scale. The total system is in static equilibrium state. Question:(1) how much does the scale reads(in Newton)? (2). what is the support force of the seat to the girl? (hint 1: write down all the forces exerted on the chair and on the girl separately and demand the net force for each is zero.  hint 2: Newton’s third law says that if there is a force exerted on A by B, then there must be another force exerted on B by A with the same magnitude and in opposite direction)

The image depicts a simple mechanical system involving a pulley and two masses. Here's a detailed explanation: ### Description of the System: 1. **Pulley System:** - A pulley is mounted on a fixed support at the top. - It is designed to assist in lifting or controlling the descent of a mass by changing the direction of force applied. 2. **Masses:** - There are two masses labeled as \( m_1 \) and \( m_2 \). - \( m_1 \) is positioned upwards on the right side and seems to be attached to a mechanism resembling a spring balance or a scale, used likely to measure force. - \( m_2 \) is placed in a seat or platform which is directly connected to the rope. 3. **Person:** - A person sits on the platform, pulling on the rope that runs over the pulley, exerting an upward force. This action will help analyze the concept of forces in equilibrium or motion, depending on the weight relation between \( m_1 \) and \( m_2 \). ### Educational Context: This setup represents an educational demonstration of basic physics principles, primarily focusing on: - **Newton's Laws of Motion:** - The interaction of forces and motion can be explored. - Understanding tension in the rope and its effect on different masses. - **Mechanics of Pulleys:** - Exploring how pulleys make lifting tasks easier. - Illustrating mechanical advantage by changing the force direction. - **Equilibrium and Motion:** - Examining conditions needed for equilibrium. - Calculating acceleration if the system is set in motion. This diagram serves as an essential tool in understanding fundamental physics concepts and is typically used in classroom settings to supplement theoretical learning with visual aids.
Transcribed Image Text:The image depicts a simple mechanical system involving a pulley and two masses. Here's a detailed explanation: ### Description of the System: 1. **Pulley System:** - A pulley is mounted on a fixed support at the top. - It is designed to assist in lifting or controlling the descent of a mass by changing the direction of force applied. 2. **Masses:** - There are two masses labeled as \( m_1 \) and \( m_2 \). - \( m_1 \) is positioned upwards on the right side and seems to be attached to a mechanism resembling a spring balance or a scale, used likely to measure force. - \( m_2 \) is placed in a seat or platform which is directly connected to the rope. 3. **Person:** - A person sits on the platform, pulling on the rope that runs over the pulley, exerting an upward force. This action will help analyze the concept of forces in equilibrium or motion, depending on the weight relation between \( m_1 \) and \( m_2 \). ### Educational Context: This setup represents an educational demonstration of basic physics principles, primarily focusing on: - **Newton's Laws of Motion:** - The interaction of forces and motion can be explored. - Understanding tension in the rope and its effect on different masses. - **Mechanics of Pulleys:** - Exploring how pulleys make lifting tasks easier. - Illustrating mechanical advantage by changing the force direction. - **Equilibrium and Motion:** - Examining conditions needed for equilibrium. - Calculating acceleration if the system is set in motion. This diagram serves as an essential tool in understanding fundamental physics concepts and is typically used in classroom settings to supplement theoretical learning with visual aids.
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