A block on a horizontal frictionless surface is attached to a spring. The block is exhibiting SHM and has an amplitude of 0.84 m. Additionally, the block is moving at 12 m/s when it's at the equilibrium position A.) Determine how far from equilibrium the block is when its PE is two-thirds of the total energy. = B.) Determine the angular frequency.

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
icon
Concept explainers
Topic Video
Question
**Title: Simple Harmonic Motion of a Block-Spring System**

**Introduction:**
A block on a horizontal frictionless surface is attached to a spring. The block is exhibiting Simple Harmonic Motion (SHM) and has an amplitude of 0.84 meters. Additionally, the block is moving at a velocity of 12 meters per second when it is at the equilibrium position.

**Objective:**
- Determine the displacement from equilibrium when the block's potential energy is two-thirds of the total energy.
- Determine the angular frequency of the system.

**Diagram Explanation:**
The image shows a block attached to a spring on a horizontal line, illustrating the concept of SHM. The spring is depicted as a zigzag line, which indicates compression and expansion as the block moves.

**Tasks:**
- **A.) Determine how far from equilibrium the block is when its potential energy (PE) is two-thirds of the total energy.**

- **B.) Determine the angular frequency (ω) of the system.**

**Variables:**
- Amplitude (A): 0.84 m
- Velocity at equilibrium: 12 m/s

This educational module helps understand the principles of energy distribution in harmonic motion and how to calculate key parameters such as displacement and angular frequency.
Transcribed Image Text:**Title: Simple Harmonic Motion of a Block-Spring System** **Introduction:** A block on a horizontal frictionless surface is attached to a spring. The block is exhibiting Simple Harmonic Motion (SHM) and has an amplitude of 0.84 meters. Additionally, the block is moving at a velocity of 12 meters per second when it is at the equilibrium position. **Objective:** - Determine the displacement from equilibrium when the block's potential energy is two-thirds of the total energy. - Determine the angular frequency of the system. **Diagram Explanation:** The image shows a block attached to a spring on a horizontal line, illustrating the concept of SHM. The spring is depicted as a zigzag line, which indicates compression and expansion as the block moves. **Tasks:** - **A.) Determine how far from equilibrium the block is when its potential energy (PE) is two-thirds of the total energy.** - **B.) Determine the angular frequency (ω) of the system.** **Variables:** - Amplitude (A): 0.84 m - Velocity at equilibrium: 12 m/s This educational module helps understand the principles of energy distribution in harmonic motion and how to calculate key parameters such as displacement and angular frequency.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Simple Harmonic Motion
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