Homework Help is Here – Start Your Trial Now!
Science
Physics
A thin, cylindrical rod t = 20.4 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? 6.18 (b) What is the angular speed of the rod and ball? 9.15 v rad/s (c) What is the linear speed of the center of mass of the ball? 2.32 v m/s (d) How does compare with the speed had the ball fallen freely through the same distance of 25.4 cm? Vswing is ---Select--- val by 3.88 Your response differs from the correct answer by more than 10%. Double check your calculations.%.

A thin, cylindrical rod t = 20.4 cm long with a mass m = 1.20 kg has a ball of diameter d = 10.00 cm and mass M = 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy? 6.18 (b) What is the angular speed of the rod and ball? 9.15 v rad/s (c) What is the linear speed of the center of mass of the ball? 2.32 v m/s (d) How does compare with the speed had the ball fallen freely through the same distance of 25.4 cm? Vswing is ---Select--- val by 3.88 Your response differs from the correct answer by more than 10%. Double check your calculations.%.

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

Confused on this last part..

A thin, cylindrical rod \(\ell = 20.4 \, \text{cm}\) long with a mass \(m = 1.20 \, \text{kg}\) has a ball of diameter \(d = 10.00 \, \text{cm}\) and mass \(M = 2.00 \, \text{kg}\) attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. --- **(a)** After the combination rotates through 90 degrees, what is its rotational kinetic energy? - **Answer:** \(6.18 \, \text{J}\) **(b)** What is the angular speed of the rod and ball? - **Answer:** \(9.15 \, \text{rad/s}\) **(c)** What is the linear speed of the center of mass of the ball? - **Answer:** \(2.32 \, \text{m/s}\) **(d)** How does it compare with the speed had the ball fallen freely through the same distance of \(25.4 \, \text{cm}\)? - **Note:** \( v_{\text{swing}} \) is left blank, and there's a notice: - **"Your response differs from the correct answer by more than 10%. Double check your calculations."** --- **Explanation of Diagram:** The diagram shows a vertical setup where a cylindrical rod is attached to a pivot at the bottom. A ball is attached at the top of the rod. The rod and ball together form a pendulum-like system which can freely rotate around the pivot.
Transcribed Image Text:A thin, cylindrical rod \(\ell = 20.4 \, \text{cm}\) long with a mass \(m = 1.20 \, \text{kg}\) has a ball of diameter \(d = 10.00 \, \text{cm}\) and mass \(M = 2.00 \, \text{kg}\) attached to one end. The arrangement is originally vertical and stationary, with the ball at the top as shown in the figure below. The combination is free to pivot about the bottom end of the rod after being given a slight nudge. --- **(a)** After the combination rotates through 90 degrees, what is its rotational kinetic energy? - **Answer:** \(6.18 \, \text{J}\) **(b)** What is the angular speed of the rod and ball? - **Answer:** \(9.15 \, \text{rad/s}\) **(c)** What is the linear speed of the center of mass of the ball? - **Answer:** \(2.32 \, \text{m/s}\) **(d)** How does it compare with the speed had the ball fallen freely through the same distance of \(25.4 \, \text{cm}\)? - **Note:** \( v_{\text{swing}} \) is left blank, and there's a notice: - **"Your response differs from the correct answer by more than 10%. Double check your calculations."** --- **Explanation of Diagram:** The diagram shows a vertical setup where a cylindrical rod is attached to a pivot at the bottom. A ball is attached at the top of the rod. The rod and ball together form a pendulum-like system which can freely rotate around the pivot.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Space-time
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.
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