### Physics Problem: Cylinder Dynamics**Q7) A uniform cylinder has mass m = 1.95 kg and radius r = 1.96 m.**The cylinder touches both a solid wall and the ground as shown in the figure. The coefficient of kinetic friction between the cylinder and both the ground and the solid wall is \(\mu_k = 0.205\).A massless string is wound around the cylinder. A horizontal force of magnitude \( F = 20.9 \, \text{N} \) is applied to the string and it unwinds with the string not slipping. The cylinder is rotating around its central axis (denoted by an \( x \) in the figure), but otherwise not moving.Below is the diagram illustrating the problem setup:- The cylinder (represented as a blue circle) has its radius marked as \( r \) and its central axis is denoted by \( x \).- The cylinder makes contact with a solid vertical wall and a horizontal ground.- An arrow labeled \( \vec{F} \) points horizontally to the right, illustrating the direction of the applied force.**Questions:**a) Calculate the magnitude of the normal force that the wall exerts on the cylinder.b) Calculate the magnitude of the angular acceleration of the cylinder.### Explanation of the Diagram:- **Cylinder**: Depicted as a blue circle with radius \( r \).- **Central Axis (x)**: Marked within the cylinder.- **Applied Force (\( \vec{F} \))**: Shown as a horizontal arrow to the right, indicating the direction of the force applied via the string.- **Contact with Wall and Ground**: Illustrates the points of contact where friction forces are active due to the wall and the ground.In this problem, students are asked to analyze the dynamics of a cylinder under the influence of a horizontal force while considering the effects of friction and calculate the corresponding normal force and angular acceleration.

Answered: Image /qna-images/answer/8a999838-b613-4f9a-bef7-e267ee6000d0.jpg

Q7) A uniform cylinder has mass m = 1.95 kg and radius r= 1.96 m. The cylinder touches both a solid wall and the ground as shown in the figure. The coefficient of kinetic friction between the cylinder and both the ground and the solid wall is uk = 0.205 A massless string is wound around the cylinder. A horizontal force of magnitude F = 20.9 N is applied to the string and it unwinds with the string not slipping. The cylinder is rotating around its central axis (denoted by an x in the figure), but otherwise not moving.

Q7) A uniform cylinder has mass m = 1.95 kg and radius r= 1.96 m. The cylinder touches both a solid wall and the ground as shown in the figure. The coefficient of kinetic friction between the cylinder and both the ground and the solid wall is uk = 0.205 A massless string is wound around the cylinder. A horizontal force of magnitude F = 20.9 N is applied to the string and it unwinds with the string not slipping. The cylinder is rotating around its central axis (denoted by an x in the figure), but otherwise not moving.

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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