VIRTUAL LABORATORY ASSIGNMENT: ROTATIONAL DYNAMICS Purpose: In this Virtual assignment, we will explore the following: (1) The relationship between rotational inertia and torque (2) The conservation of angular momentum in a rotating system Instructions: Go to the following site: litsz/ormysicscomhtml Section 1: Rotational Inertia and Torque: Click on the Rotational Inertia and Torque simulation. The settings should be: Radius = 2 meters, Mass = 5 kilograms, and Force = 20 newtons. The torque should be equal to 40 N-m. l. The box next to Solid Sphere should be checked. Click Start to run the simulation. Once the angular acceleration cc appears, click Pause to stop. a. Using the mathematical relationship between torque, moment of inertia, and angular acceleration, calculate the moment of inertia of the sphere. b. The formula for the moment of inertia of a rigid object is I = ker where m is mass, r is radius, and k is a proportionality constant. Calculate the value of k for the solid sphere. Repeat the above instructions in question 1 for the following rigid objects: 2. Spherical Shell 3. Solid Cylinder 4. Cylindrical Shell 5. Look up the formulas for the moment of inertia for each of the rigid objects either in your textbook or other reference sheet. Are your results for the value of k consistent with these formulas?Section 2: Angular Momentum: Click on the Angular Momentum: Person on Rotating Platform simulation. The settings should be: Radius of cylinder = 5 meters; Radius of Person's Path = 5 meters; Mass of Person = 50 kilograms; Mass of Cylinder = 100 kilograms. 1. Record the angular velocity w. Calculate the total moment of inertia of the cylinder-person system. (Hint: Treat the person as a single particle.) Calculate the total angular momentum of the system. Repeat the above instructions in question 1 for the following settings for Radius of Person's Path: 2. 4 meters 3. 3 meters 4. 2 meters 5. Are your results consistent with the Law of Conservation of Angular Momentum? State examples to support your