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Cart A has a mass of 10 kg. The slope has an incline of 20º. Rolling friction is negligible. What is the mass of the hanging mass B if the cart is rolling up the slope at constant velocity?

Cart A has a mass of 10 kg. The slope has an incline of 20º. Rolling friction is negligible. What is the mass of the hanging mass B if the cart is rolling up the slope at constant velocity?

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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Cart A has a mass of 10 kg. The slope has an incline of 20º. Rolling friction
is negligible. What is the mass of the hanging mass B if the cart is rolling up
the slope at constant velocity?
 
 
 
The image illustrates a classic physics problem involving a block on an inclined plane connected via a pulley system to another mass. Here is a detailed transcription and explanation: **Diagram Description:** - **Inclined Plane:** The plane is angled with a distinct angle θ (theta) relative to the horizontal surface. - **Block on the Plane (A):** Labeled as \( m_1 \), this block is on the inclined plane. An arrow indicates that its velocity (\( v \)) is constant, moving upward along the plane. - **Pulley System:** A pulley is positioned at the top of the incline. - **Hanging Mass (B):** The block labeled as \( m_2 \) is hanging vertically from the pulley. An arrow alongside the hanging mass indicates its velocity (\( v \)) is constant and directed downward. - **Coordinate Axes:** Two axes, labeled \( x \) (parallel to the incline) and \( y \) (perpendicular to the incline), are shown to describe the orientation of the plane and motion. **Key Concepts:** - **Constant Velocity:** The indication that both blocks are maintaining a constant velocity implies that the system is in dynamic equilibrium. This means the net force along the planes and in the pulley system is balanced by friction, tension, or other forces. - **Gravitational Force:** The gravitational force affects both masses, providing the downward force on \( m_2 \) and a component acting along the incline on \( m_1 \). This diagram can be used to understand concepts like friction, tension in the pulley, and forces acting on objects on inclined planes. It demonstrates how mass and gravity can influence motion in a mechanical system.
Transcribed Image Text:The image illustrates a classic physics problem involving a block on an inclined plane connected via a pulley system to another mass. Here is a detailed transcription and explanation: **Diagram Description:** - **Inclined Plane:** The plane is angled with a distinct angle θ (theta) relative to the horizontal surface. - **Block on the Plane (A):** Labeled as \( m_1 \), this block is on the inclined plane. An arrow indicates that its velocity (\( v \)) is constant, moving upward along the plane. - **Pulley System:** A pulley is positioned at the top of the incline. - **Hanging Mass (B):** The block labeled as \( m_2 \) is hanging vertically from the pulley. An arrow alongside the hanging mass indicates its velocity (\( v \)) is constant and directed downward. - **Coordinate Axes:** Two axes, labeled \( x \) (parallel to the incline) and \( y \) (perpendicular to the incline), are shown to describe the orientation of the plane and motion. **Key Concepts:** - **Constant Velocity:** The indication that both blocks are maintaining a constant velocity implies that the system is in dynamic equilibrium. This means the net force along the planes and in the pulley system is balanced by friction, tension, or other forces. - **Gravitational Force:** The gravitational force affects both masses, providing the downward force on \( m_2 \) and a component acting along the incline on \( m_1 \). This diagram can be used to understand concepts like friction, tension in the pulley, and forces acting on objects on inclined planes. It demonstrates how mass and gravity can influence motion in a mechanical system.
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