In the image below pivot is placed at the center of mass of the stick (mass = 0.097 kg). If the block (0.022 kg) is placed at 0.766 m it will rotate the block-stick system around the pivot. Calculate the following. (Istick = 1/12 ML^2)

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

In the image below pivot is placed at the center of mass of the stick (mass = 0.097 kg). If the block (0.022 kg) is placed at 0.766 m it will rotate the block-stick system around the pivot. Calculate the following. (Istick = 1/12 ML^2)

 

 

**Figure Explanation:**
The image depicts a horizontal stick positioned on a pivot point, indicated by a red triangle, which represents the center of mass (CM). The stick is 1 meter long, extending from x = 0 m to x = 1 m. A block, labeled "A," is placed at the end of the stick at x = 1 m. The pivot point is located at the middle of the stick at x = 0.5 m. The horizontal axis is labeled as x, and the specific positions \(x = 0.5 \, \text{m}\) (center) and \(x = 1 \, \text{m}\) (block A) are marked.

**Calculations:**

(a) The stick's moment of inertia = \(\_\_\_\_\_\_\_\_\_\_\_\) kg.m²

(b) The block's moment of inertia = \(\_\_\_\_\_\_\_\_\_\_\_\) kg.m²

(c) Total I of the system = \(\_\_\_\_\_\_\_\_\_\_\_\) kg.m²

(d) Torque (magnitude) = \(\_\_\_\_\_\_\_\_\_\_\_\) N.m

(e) Angular acceleration (magnitude) = \(\_\_\_\_\_\_\_\_\_\_\_\) \(\frac{\text{rad}}{\text{s}^2}\)
Transcribed Image Text:**Figure Explanation:** The image depicts a horizontal stick positioned on a pivot point, indicated by a red triangle, which represents the center of mass (CM). The stick is 1 meter long, extending from x = 0 m to x = 1 m. A block, labeled "A," is placed at the end of the stick at x = 1 m. The pivot point is located at the middle of the stick at x = 0.5 m. The horizontal axis is labeled as x, and the specific positions \(x = 0.5 \, \text{m}\) (center) and \(x = 1 \, \text{m}\) (block A) are marked. **Calculations:** (a) The stick's moment of inertia = \(\_\_\_\_\_\_\_\_\_\_\_\) kg.m² (b) The block's moment of inertia = \(\_\_\_\_\_\_\_\_\_\_\_\) kg.m² (c) Total I of the system = \(\_\_\_\_\_\_\_\_\_\_\_\) kg.m² (d) Torque (magnitude) = \(\_\_\_\_\_\_\_\_\_\_\_\) N.m (e) Angular acceleration (magnitude) = \(\_\_\_\_\_\_\_\_\_\_\_\) \(\frac{\text{rad}}{\text{s}^2}\)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Rotational Kinetic energy
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