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A 26 g block hangs from a 350 g rotating solid disk, as shown below. If the radius of the disk is 12 cm, what is the speed of the block after it has dropped 55 cm starting from rest? If a disk with radius 5.0 cm is used instead, how does your answer change?

A 26 g block hangs from a 350 g rotating solid disk, as shown below. If the radius of the disk is 12 cm, what is the speed of the block after it has dropped 55 cm starting from rest? If a disk with radius 5.0 cm is used instead, how does your answer change?

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 26 g block hangs from a 350 g rotating solid disk, as shown below. If the radius of the disk is
12 cm, what is the speed of the block after it has dropped 55 cm starting from rest? If a disk with radius
5.0 cm is used instead, how does your answer change?

This diagram represents an Atwood machine, which is a system used to study the dynamics of two masses connected by a string over a pulley. ### Components of the Diagram: 1. **Pulley:** - Depicted as a blue circle with radius \( R \). - The pulley has a mass labeled \( M \), which indicates it has a moment of inertia. 2. **Masses:** - A mass \( m \) is shown hanging vertically, connected to the pulley by a string. - The second mass is not depicted separately; it is implied to counterbalance mass \( m \). 3. **String:** - The string is assumed to be massless and inextensible, which transmits the force without any loss. - It is shown extending over the pulley, connecting the two masses. 4. **Support Structure:** - The pulley is attached to a yellow rectangular structure, representing support, allowing it to rotate freely. ### Explanation of the System: - In this setup, when released, the masses start to move due to the gravitational force \( g \). - The motion of the masses can be studied using Newton's laws and the equations of rotational motion. - The system demonstrates principles like the conservation of energy and linear & angular momentum. This setup is frequently used in physics to analyze motion, forces, and energy transfer.
Transcribed Image Text:This diagram represents an Atwood machine, which is a system used to study the dynamics of two masses connected by a string over a pulley. ### Components of the Diagram: 1. **Pulley:** - Depicted as a blue circle with radius \( R \). - The pulley has a mass labeled \( M \), which indicates it has a moment of inertia. 2. **Masses:** - A mass \( m \) is shown hanging vertically, connected to the pulley by a string. - The second mass is not depicted separately; it is implied to counterbalance mass \( m \). 3. **String:** - The string is assumed to be massless and inextensible, which transmits the force without any loss. - It is shown extending over the pulley, connecting the two masses. 4. **Support Structure:** - The pulley is attached to a yellow rectangular structure, representing support, allowing it to rotate freely. ### Explanation of the System: - In this setup, when released, the masses start to move due to the gravitational force \( g \). - The motion of the masses can be studied using Newton's laws and the equations of rotational motion. - The system demonstrates principles like the conservation of energy and linear & angular momentum. This setup is frequently used in physics to analyze motion, forces, and energy transfer.
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