A uniform rod of mass M and length L is held vertically by two strings of negligible mass, as shown below. The string on the right is cut and the bar falls, rotating about the left end. L/2 Mg Answer the following using the rotational form of Newton's second law for extended objects (1) 7 = la. (a) Immediately after the string is cut, what is the angular acceleration of the stick. (b) Is the angular acceleration constant during the fall? If not, is it decreasing or increasing as the bar falls?

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)...
icon
Related questions
Question
A uniform rod of mass M and length L is held vertically by two strings of negligible
mass, as shown below. The string on the right is cut and the bar falls, rotating about
the left end.
L/2
Mg
Answer the following using the rotational form of Newton's second law for extended
objects
(1)
7 = la.
(a) Immediately after the string is cut, what is the angular acceleration of the stick.
(b) Is the angular acceleration constant during the fall? If not, is it decreasing or
increasing as the bar falls?
The moment of inertia of a rod of length L and mass M rotating about an axis at the
end is given by I = {ML².
Note: The net gravitation force (and external force) acting on an extended object, is
equivalent to the force acting on a point mass M located at the center of mass. As a
result, the torque on the bar is determined by the force of gravity acting at the center
of mass.
Transcribed Image Text:A uniform rod of mass M and length L is held vertically by two strings of negligible mass, as shown below. The string on the right is cut and the bar falls, rotating about the left end. L/2 Mg Answer the following using the rotational form of Newton's second law for extended objects (1) 7 = la. (a) Immediately after the string is cut, what is the angular acceleration of the stick. (b) Is the angular acceleration constant during the fall? If not, is it decreasing or increasing as the bar falls? The moment of inertia of a rod of length L and mass M rotating about an axis at the end is given by I = {ML². Note: The net gravitation force (and external force) acting on an extended object, is equivalent to the force acting on a point mass M located at the center of mass. As a result, the torque on the bar is determined by the force of gravity acting at the center of mass.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 images

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
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