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A 8.10 kg uniform disk with a radius of 14.3 cm is wrapped with a massless string and is suspending a 4.47 kg mass. What is the tension in the string as the mass falls? What is the speed of the mass after it has fallen 3.56 m?

A 8.10 kg uniform disk with a radius of 14.3 cm is wrapped with a massless string and is suspending a 4.47 kg mass. What is the tension in the string as the mass falls? What is the speed of the mass after it has fallen 3.56 m?

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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A 8.10 kg uniform disk with a radius of 14.3 cm is wrapped with a massless string and is suspending a 4.47 kg mass. What is the tension in the string as the mass falls? What is the speed of the mass after it has fallen 3.56 m?

The diagram shown is a simple representation often used in physics and engineering to illustrate pulley systems. Here's a detailed explanation of the components visible in the diagram: 1. **Large Circle (Pulley)**: - The large blue circle represents a pulley. A pulley is a wheel on an axle or shaft that is designed to support the movement and change of direction of a taut cable or belt. - The thick red outline around the blue circle is indicative of the pulley wheel and its boundary. 2. **Connecting Line (Rope or Cable)**: - The vertical red line extending from the pulley downwards represents a rope or cable. This rope is typically what allows the transfer of force from the pulley to the load. - In this system, the rope or cable is assumed to be inextensible (does not stretch) and flexible. 3. **Triangle (Load or Weight)**: - The blue triangle at the end of the rope represents the load or weight being lifted or moved by the pulley system. - The shape often signifies a weight or a box in schematic diagrams. In a practical scenario, this could be any object that is being manipulated using the pulley system. **Purpose of the Diagram in Educational Material**: This type of diagram is frequently used to explain the basic principles of mechanics, such as mechanical advantage and the relationship between force, distance, and work in pulley systems. Understanding pulley systems is essential in physics as they provide a tangible illustration of fundamental concepts like tension, force distribution, and mechanical advantage, making it easier for students to grasp these often abstract ideas with a visual aid.
Transcribed Image Text:The diagram shown is a simple representation often used in physics and engineering to illustrate pulley systems. Here's a detailed explanation of the components visible in the diagram: 1. **Large Circle (Pulley)**: - The large blue circle represents a pulley. A pulley is a wheel on an axle or shaft that is designed to support the movement and change of direction of a taut cable or belt. - The thick red outline around the blue circle is indicative of the pulley wheel and its boundary. 2. **Connecting Line (Rope or Cable)**: - The vertical red line extending from the pulley downwards represents a rope or cable. This rope is typically what allows the transfer of force from the pulley to the load. - In this system, the rope or cable is assumed to be inextensible (does not stretch) and flexible. 3. **Triangle (Load or Weight)**: - The blue triangle at the end of the rope represents the load or weight being lifted or moved by the pulley system. - The shape often signifies a weight or a box in schematic diagrams. In a practical scenario, this could be any object that is being manipulated using the pulley system. **Purpose of the Diagram in Educational Material**: This type of diagram is frequently used to explain the basic principles of mechanics, such as mechanical advantage and the relationship between force, distance, and work in pulley systems. Understanding pulley systems is essential in physics as they provide a tangible illustration of fundamental concepts like tension, force distribution, and mechanical advantage, making it easier for students to grasp these often abstract ideas with a visual aid.
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