Homework Help is Here – Start Your Trial Now!
Science
Physics
Problem 3. A disk has mass M and radius R. The disk can rotate freely about a horizontal bar. A mass m is wrapped around the disk and hangs below it, as shown below. Note that the moment of inertia for a solid disk is I = MR². m M, R Part (a) Draw separate, qualitatively correct free body diagrams for the disk and the hanging mass. Part (b) In this problem, there are three unknowns: the linear acceleration of the mass, a, the angular acceleration of the disk, a, and the tension in the string, T. For this part: i. Write down the relationship between a and a. ii. Set up Newton's 2nd Law for the mass m. iii. Set up the torque equation for the pulley. Do not yet solve for anything. Part (c) Now, go ahead and solve for the linear acceleration of the mass, a. In your calculations, take m = 1 kg, M = 5 kg, and R = 10 cm.

Problem 3. A disk has mass M and radius R. The disk can rotate freely about a horizontal bar. A mass m is wrapped around the disk and hangs below it, as shown below. Note that the moment of inertia for a solid disk is I = MR². m M, R Part (a) Draw separate, qualitatively correct free body diagrams for the disk and the hanging mass. Part (b) In this problem, there are three unknowns: the linear acceleration of the mass, a, the angular acceleration of the disk, a, and the tension in the string, T. For this part: i. Write down the relationship between a and a. ii. Set up Newton's 2nd Law for the mass m. iii. Set up the torque equation for the pulley. Do not yet solve for anything. Part (c) Now, go ahead and solve for the linear acceleration of the mass, a. In your calculations, take m = 1 kg, M = 5 kg, and R = 10 cm.

College Physics
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)...
See similar textbooks
icon
Related questions
Question

no ai please

Problem 3. A disk has mass M and radius R. The disk can rotate freely about a horizontal bar. A mass m is wrapped around the disk and hangs below it, as shown below. Note that the moment of inertia for a solid disk is I = MR². m M, R Part (a) Draw separate, qualitatively correct free body diagrams for the disk and the hanging mass. Part (b) In this problem, there are three unknowns: the linear acceleration of the mass, a, the angular acceleration of the disk, a, and the tension in the string, T. For this part: i. Write down the relationship between a and a. ii. Set up Newton's 2nd Law for the mass m. iii. Set up the torque equation for the pulley. Do not yet solve for anything. Part (c) Now, go ahead and solve for the linear acceleration of the mass, a. In your calculations, take m = 1 kg, M = 5 kg, and R = 10 cm.
Transcribed Image Text:Problem 3. A disk has mass M and radius R. The disk can rotate freely about a horizontal bar. A mass m is wrapped around the disk and hangs below it, as shown below. Note that the moment of inertia for a solid disk is I = MR². m M, R Part (a) Draw separate, qualitatively correct free body diagrams for the disk and the hanging mass. Part (b) In this problem, there are three unknowns: the linear acceleration of the mass, a, the angular acceleration of the disk, a, and the tension in the string, T. For this part: i. Write down the relationship between a and a. ii. Set up Newton's 2nd Law for the mass m. iii. Set up the torque equation for the pulley. Do not yet solve for anything. Part (c) Now, go ahead and solve for the linear acceleration of the mass, a. In your calculations, take m = 1 kg, M = 5 kg, and R = 10 cm.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS