**Rotational Dynamics of a Disk**In this section, we will explore the rotational dynamics of a disk subjected to multiple forces. Consider a disk that is free to rotate about an axis passing through its center. The disk has a radius of 0.1 meters and a mass of 6 kilograms. Additionally, the disk is currently rotating at a speed of 100 revolutions per minute (rpm).### Description of ForcesThree forces are applied to the disk at different points, as depicted in the following diagram:- A force of 5 Newtons (N) acting vertically upward from the left side of the disk.- A force of 10 Newtons (N) acting horizontally to the right from the exact center of the disk.- A force of 1 Newton (N) acting horizontally to the left from the lower left side of the disk.These forces create a combination of torques that affect the rotational motion of the disk.### Diagram Explanation1. The disk is represented as a grey circle with an axis through its center.2. The force vectors are shown with their respective magnitudes: - A 5 N force vector pointing upward (located on the left side of the disk). - A 10 N force vector pointing to the right (passing through the center of the disk). - A 1 N force vector pointing to the left (on the lower left side of the disk).### Questions for Understanding (To be Answered)Using this information, answer the following questions to deepen your understanding of the rotational dynamics involved:1. What is the net torque acting on the disk?2. What is the resultant angular acceleration of the disk?3. How do the forces affect the rotational equilibrium of the disk?4. What is the kinetic energy of the disk due to its rotational motion?5. How does the distribution of forces change if the disk's rotation speed is altered?6. What is the effect of each individual force on the disk's angular velocity?7. How would the system change if an additional force were introduced?Understanding these questions will help to explain the impact of varying forces on the rotational motion of a disk in a comprehensive manner. ### Physics Concepts and Applications: Moments of Inertia and Angular Motion---#### Question 4**What is the moment of inertia of the disk?**- [ ] \(0.83 \, \text{kg} \cdot \text{m}^2 \)- [ ] \(0.023 \, \text{kg} \cdot \text{m}^2 \)- [ ] \(0.68 \, \text{kg} \cdot \text{m}^2 \)- [ ] \(2.1 \, \text{kg} \cdot \text{m}^2 \)- [ ] \(1.18 \, \text{kg} \cdot \text{m}^2 \)---#### Question 5**What is the magnitude of the angular acceleration of the disk?**- [ ] \(8 \, \text{rad/s}^2\)- [ ] \(120 \, \text{rad/s}^2\)- [ ] \(42 \, \text{rad/s}^2\)- [ ] \(100 \, \text{rad/s}^2\)- [ ] \(20 \, \text{rad/s}^2\)---#### Question 6**Suppose that a ball of clay (mass \(m\)) falls onto the edge of the disk (mass \(M\), radius \(R\)) and sticks. What is the moment of inertia of the disk + clay system?**- [ ] \(I = MR^2\)- [ ] \(I = \frac{1}{2}MR^2 + mR^2\)- [ ] \(I = \frac{3}{2}MR^2 + mR^2\)- [ ] \(I = 2mR^2\)- [ ] \(I = \frac{1}{2}MR^2 - mR^2\)- [ ] \(I = mR^2\)---#### Question 7**Suppose the mass of the clay that falls onto the disk is 2 kg. What is the angular speed of the disk after the clay is added? You can leave your answer in rpm.**- [ ] 0 rpm- [ ] 45 rpm- [ ] 90 rpm- [ ]

Answered: Image /qna-images/answer/c71a5755-cf3f-4d56-8c3d-5901c961a0c5.jpg

A disk is free to rotate about an axis through its center. The radius of the disk is 0.1 m and its mass is 6 kg. Three forces are acting on the disk as shown in the figure below. The disk is rotating at 100 rpm. Use this information to answer the next 7 questions. 5N 10 N 1N

A disk is free to rotate about an axis through its center. The radius of the disk is 0.1 m and its mass is 6 kg. Three forces are acting on the disk as shown in the figure below. The disk is rotating at 100 rpm. Use this information to answer the next 7 questions. 5N 10 N 1N

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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