### Educational ContentIn the figure, a cylinder with a mass of 4.5 kg can rotate about its central axis through point O. The following forces are applied:- \( F_1 = 4.4 \, \text{N} \)- \( F_2 = 6.1 \, \text{N} \)- \( F_3 = 9.1 \, \text{N} \)- \( F_4 = 7.6 \, \text{N} \)Parameters given are \( r = 4.7 \, \text{cm} \) and \( R = 10 \, \text{cm} \). Taking the clockwise direction as negative, find the angular acceleration of the cylinder. During rotation, the forces maintain their angles relative to the cylinder.**Diagram Explanation**The diagram shows a cylindrical object with a radius R, illustrating the forces \( F_1, F_2, F_3, \) and \( F_4 \) acting on its surface. The forces are depicted as vectors, each pointing in a distinct direction from the surface of the cylinder. The cylinder rotates about its axis at point O, and a rotation axis is indicated.**Solution**The answer box at the bottom shows a calculated value of 98.82 with the unit rad/s\(^2\).This setup is typically used to teach rotational dynamics, where torque, radius, and force interactions are considered to determine angular acceleration. The image presents a physics problem involving torque and forces acting on a body pivoted at point O. Three forces are acting on the body in specified directions:- **Force \( F_A \)**: 5.40 N located at point A, 8.00 m from the pivot O.- **Force \( F_B \)**: 16.0 N located at point B, 2.10 m from the pivot O.- **Force \( F_C \)**: 19.0 N located at point C, 4.80 m from the pivot O.The diagram illustrates the direction and position of the forces relative to point O, with angles mentioned for each force: - \( F_A \) is at an angle of 135° from the line connecting O and A,- \( F_B \) is perpendicular (90°) to the line OB,- \( F_C \) is at an angle of 160° from the line OC.The problem asks for the calculation of the net torque about point O, taking the clockwise direction to be negative.A field to enter the calculated torque value is provided, along with a dropdown menu to select the appropriate units, which are given as Newton-meters (N·m).The diagram shows the three forces acting outward from point O on the object, visualizing how each force is applied at their respective points.

Answered: Image /qna-images/answer/7d56fcbf-be82-41c4-91da-c8c17afb7bda.jpg

In the figure here, a cylinder having a mass of 4.5 kg can rotate about its central axis through point O. Forces are applied as shown: F = 4.4 N, F2 = 6.1 N, F3 = 9.1 N, and F4 = 7.6 N. Also, r = 4.7 cm and R = 10 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Rotation аxis Number i 98.82 Unit rad/s^2

In the figure here, a cylinder having a mass of 4.5 kg can rotate about its central axis through point O. Forces are applied as shown: F = 4.4 N, F2 = 6.1 N, F3 = 9.1 N, and F4 = 7.6 N. Also, r = 4.7 cm and R = 10 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Rotation аxis Number i 98.82 Unit rad/s^2

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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