A thin- walled cylinder of radius 50 cm, mass 1.0 kg, is mounted on a frictionless, horizontal axle as in Figure 1 . A light cord wrapped around the wheel supports an object of mass 2 kg. When the wheel is released, the object accelerates downward, the cord unwraps off the wheel, and the wheel rotates with an angular acceleration. Find the angular acceleration of the wheel, , and the tension in the cord

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 65P: A long, uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through...
icon
Related questions
Question
100%

A thin- walled cylinder  of radius 50 cm, mass 1.0 kg, is mounted on a frictionless, horizontal axle as in Figure 1 . A light cord wrapped around the wheel supports an object of mass 2 kg. When the wheel is released, the object accelerates downward, the cord unwraps off the wheel, and the wheel rotates with an angular acceleration. Find the angular acceleration of the wheel, , and the tension in the cord.

Expert Solution
Step 1

radius = 50 cm mass = 1 kg mass of object = 2 kg using , Tension = M (g-a) T= 2(9.8-a)T= 19.6 - 2a 

 

Step 2

Now, torque = R*F = I * angular acceleration R*(19.6 - 2a) = (1/2)(m)(R)2 *(a/R)19.6 - 2a = (1/2)(a)(a)19.6 = 2.5 aa = 7.84 m/s2angular acceleration =a/R  = 7.84/0.5 = 15.68 rad/sec2  (angular acceleration)

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Angular speed, acceleration and displacement
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning