**Problem 1: Dynamics of a Suspended Cylinder****Scenario:**A cylinder (mass \( M \), radius \( R \)) is wrapped by a rigid, light string. One end of the string is fixed to a ceiling. When the center of the cylinder drops a distance \( L \) from its initial position:**Tasks:**a) **Free Body Diagram:** Draw a diagram of the cylinder and describe its motion once it is released.b) **Linear Acceleration and Tension:** Calculate the linear acceleration of the center of the cylinder and the tension in the string.c) **Energy Method:** Use the energy method to determine the final speed of the cylinder.**Diagram Explanation:**The diagram shows a cylinder hanging by a string from a ceiling. The string wraps around the cylinder, and as it unwinds, the cylinder falls downward. The point where the string is attached to the ceiling is fixed.The drawing illustrates the concept of rotational motion initiated by a suspended object when released, emphasizing the need for a free body diagram to analyze forces and motion.

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1. A cylinder (mass M, radius R) is wrapped by a rigid light string. One end of the string is fixed on a ceiling. When the center of the cylinder drops a distance L from its initial position. a) Draw a free body diagram of the cylinder and describe its motion once it is released, b) Find the linear acceleration of the center of the cylinder and the tension on the string, c) Use energy method to find the final speed www icylinder

1. A cylinder (mass M, radius R) is wrapped by a rigid light string. One end of the string is fixed on a ceiling. When the center of the cylinder drops a distance L from its initial position. a) Draw a free body diagram of the cylinder and describe its motion once it is released, b) Find the linear acceleration of the center of the cylinder and the tension on the string, c) Use energy method to find the final speed www icylinder

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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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

**Problem 1: Dynamics of a Suspended Cylinder**

**Scenario:**
A cylinder (mass \( M \), radius \( R \)) is wrapped by a rigid, light string. One end of the string is fixed to a ceiling. When the center of the cylinder drops a distance \( L \) from its initial position:

**Tasks:**

a) **Free Body Diagram:** Draw a diagram of the cylinder and describe its motion once it is released.

b) **Linear Acceleration and Tension:** Calculate the linear acceleration of the center of the cylinder and the tension in the string.

c) **Energy Method:** Use the energy method to determine the final speed of the cylinder.

**Diagram Explanation:**

The diagram shows a cylinder hanging by a string from a ceiling. The string wraps around the cylinder, and as it unwinds, the cylinder falls downward. The point where the string is attached to the ceiling is fixed.

The drawing illustrates the concept of rotational motion initiated by a suspended object when released, emphasizing the need for a free body diagram to analyze forces and motion.

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