Homework Help is Here – Start Your Trial Now!
Science
Physics
em 1: Consider a Standard Atwood's machine where two masses are attached by a light string and hang over a pulley. Previously, we always modeled the pulley as massless. However, real pulleys do have mass. Say the pulley is a solid disk of radius R and mass M that rotates around its center with negligible friction. Say the mass on the left is m₁ and the mass on the right is m2, and m₂ > m1. Part (a) Is the tension acting upwards on m1 (call this T₁) the same as the tension acting upwards on m₂ (call this T2)? Explain. Part (b) Draw a free body diagram for m₁ with the force vectors to relative scale. Part (c) Draw a free body diagram for m2 with the force vectors to relative scale. Part (d) Draw an extended free body diagram of only the pulley showing where each tension force acts. Part (e) Rank the following from greatest to least: m2g, m₁g, T2, T1 Part (f) What is the magnitude of the net torque acting on the pulley in terms of R, T₁, and T₂? Part (g) What is the direction of the net torque acting on the pulley? Part (h) Relate the magnitude of the angular acceleration of the pulley to the magnitude of the linear acceleration of the masses a and the pulley radius R. Put your answer in terms of only a and R.

em 1: Consider a Standard Atwood's machine where two masses are attached by a light string and hang over a pulley. Previously, we always modeled the pulley as massless. However, real pulleys do have mass. Say the pulley is a solid disk of radius R and mass M that rotates around its center with negligible friction. Say the mass on the left is m₁ and the mass on the right is m2, and m₂ > m1. Part (a) Is the tension acting upwards on m1 (call this T₁) the same as the tension acting upwards on m₂ (call this T2)? Explain. Part (b) Draw a free body diagram for m₁ with the force vectors to relative scale. Part (c) Draw a free body diagram for m2 with the force vectors to relative scale. Part (d) Draw an extended free body diagram of only the pulley showing where each tension force acts. Part (e) Rank the following from greatest to least: m2g, m₁g, T2, T1 Part (f) What is the magnitude of the net torque acting on the pulley in terms of R, T₁, and T₂? Part (g) What is the direction of the net torque acting on the pulley? Part (h) Relate the magnitude of the angular acceleration of the pulley to the magnitude of the linear acceleration of the masses a and the pulley radius R. Put your answer in terms of only a and R.

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
Don't use chat gpt It
em 1: Consider a Standard Atwood's machine where two masses are attached by a light string and hang over a pulley. Previously, we always modeled the pulley as massless. However, real pulleys do have mass. Say the pulley is a solid disk of radius R and mass M that rotates around its center with negligible friction. Say the mass on the left is m₁ and the mass on the right is m2, and m₂ > m1. Part (a) Is the tension acting upwards on m1 (call this T₁) the same as the tension acting upwards on m₂ (call this T2)? Explain. Part (b) Draw a free body diagram for m₁ with the force vectors to relative scale. Part (c) Draw a free body diagram for m2 with the force vectors to relative scale. Part (d) Draw an extended free body diagram of only the pulley showing where each tension force acts. Part (e) Rank the following from greatest to least: m2g, m₁g, T2, T1 Part (f) What is the magnitude of the net torque acting on the pulley in terms of R, T₁, and T₂? Part (g) What is the direction of the net torque acting on the pulley? Part (h) Relate the magnitude of the angular acceleration of the pulley to the magnitude of the linear acceleration of the masses a and the pulley radius R. Put your answer in terms of only a and R.
Transcribed Image Text:em 1: Consider a Standard Atwood's machine where two masses are attached by a light string and hang over a pulley. Previously, we always modeled the pulley as massless. However, real pulleys do have mass. Say the pulley is a solid disk of radius R and mass M that rotates around its center with negligible friction. Say the mass on the left is m₁ and the mass on the right is m2, and m₂ > m1. Part (a) Is the tension acting upwards on m1 (call this T₁) the same as the tension acting upwards on m₂ (call this T2)? Explain. Part (b) Draw a free body diagram for m₁ with the force vectors to relative scale. Part (c) Draw a free body diagram for m2 with the force vectors to relative scale. Part (d) Draw an extended free body diagram of only the pulley showing where each tension force acts. Part (e) Rank the following from greatest to least: m2g, m₁g, T2, T1 Part (f) What is the magnitude of the net torque acting on the pulley in terms of R, T₁, and T₂? Part (g) What is the direction of the net torque acting on the pulley? Part (h) Relate the magnitude of the angular acceleration of the pulley to the magnitude of the linear acceleration of the masses a and the pulley radius R. Put your answer in terms of only a and R.
Expert Solution
steps

Step by step

Solved in 2 steps with 3 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