**Title: Understanding Torque and Angular Acceleration****Problem Statement:**A uniform solid disk with a mass of 18.8 kg and a radius of 0.763 m is free to rotate about a frictionless axle. Forces of 90.0 N and 125 N are applied to the disk, as the figure illustrates. Taking the clockwise direction to be the negative direction, what is (a) the net torque produced by the two forces and (b) the angular acceleration of the disk?**Diagram Explanation:**The diagram shows a solid disk mounted on a stand with two forces acting on its edge:- A 125 N force directed horizontally to the right at the top edge of the disk.- A 90.0 N force directed horizontally to the left at the bottom edge of the disk.Both forces are applied perpendicularly to the radius of the disk, at an angle of 90° to the surface.**Solution Steps:**- Determine the torque produced by each force.- Calculate the net torque by considering the direction of each force.- Use the net torque to find the angular acceleration of the disk.**Calculations:**(a) **Net Torque:**- Torque (\(\tau\)) is calculated as \(\tau = r \times F \times \sin(\theta)\).- The torque due to the 125 N force is \(125 \, \text{N} \times 0.763 \, \text{m}\).- The torque due to the 90.0 N force is \(90.0 \, \text{N} \times 0.763 \, \text{m}\).- Consider the direction of each force to determine the sign of the torque.(b) **Angular Acceleration:**- Use the formula \(\alpha = \frac{\tau_{\text{net}}}{I}\), where \(I\) is the moment of inertia of the disk.- For a solid disk, \(I = \frac{1}{2} m r^2\).**Input Fields:**- **(a) Net Torque:** [Number] [Units]- **(b) Angular Acceleration:** [Number] [Units] This problem illustrates how to calculate the net effect of forces applied at different points on a rotating object and understand how they influence its rotational motion.

Answered: Image /qna-images/answer/e199223b-5870-4ef5-b7e3-a771cb49b1da.jpg

rrent Attempt in Progress A uniform solid disk with a mass of 18.8 kg and a radius of 0.763 m is free to rotate about a frictionless axle. Forces of 90.0 and 125 N are applied to the disk, as the figure illustrates. Taking the clockwise direction to be the negative direction, what is (a) the net torque produced by the two forces and (b) the angular acceleration of the disk? (a) Number i (b) Number i Units Units 90° -90° 125 N 90.0 N

rrent Attempt in Progress A uniform solid disk with a mass of 18.8 kg and a radius of 0.763 m is free to rotate about a frictionless axle. Forces of 90.0 and 125 N are applied to the disk, as the figure illustrates. Taking the clockwise direction to be the negative direction, what is (a) the net torque produced by the two forces and (b) the angular acceleration of the disk? (a) Number i (b) Number i Units Units 90° -90° 125 N 90.0 N

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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