Refer to the figure. Let the mass of the block be 5.90 kg and the angle 8 be 29.0°. Find (a) the tension in the cord and (b) the normal force acting on the block. (c) If the cord is cut, find the magnitude of the block's acceleration. 0 90°-0- M Block 6 (b) Frictionless (a) F, sin 8 Fcos 6 Fsin 8 (c)
Refer to the figure. Let the mass of the block be 5.90 kg and the angle 8 be 29.0°. Find (a) the tension in the cord and (b) the normal force acting on the block. (c) If the cord is cut, find the magnitude of the block's acceleration. 0 90°-0- M Block 6 (b) Frictionless (a) F, sin 8 Fcos 6 Fsin 8 (c)
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)...
Related questions
Question
![### Problem Description
Refer to the figure. Let the mass of the block be 5.90 kg and the angle \( \theta \) be 29.0°.
1. **(a)** Find the tension in the cord.
2. **(b)** Find the normal force acting on the block.
3. **(c)** If the cord is cut, find the magnitude of the block's acceleration.
### Diagram Description
#### Diagram (a)
This is a side view schematic diagram showing a block of mass \( m \) resting on a frictionless inclined plane. The angle of inclination is \( \theta \). A cord is attached to the block and supports it as it lies against a vertical wall.
#### Diagram (b)
A free-body diagram showing the forces acting on the block:
- \( \vec{F}_{N} \): The normal force acting perpendicular to the surface of the incline.
- \( \vec{T} \): The tension in the cord acting towards the top of the incline.
- \( \vec{F}_{g} \): The gravitational force acting vertically downward.
- Angles and components are marked, showing \( 90° - \theta \) and the angle \( \theta \).
#### Diagram (c)
A coordinate system is depicted with axes \( x \) and \( y \), breaking down the gravitational force \( \vec{F}_{g} \) into components:
- \( F_{g} \sin \theta \): The component of gravitational force parallel to the incline.
- \( F_{g} \cos \theta \): The component of gravitational force perpendicular to the incline.
This explanation and diagrams help in understanding how to calculate the tension in the cord, normal force, and subsequent acceleration when the cord is cut.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F084886ad-eaf9-4e39-9ea7-4eb8cf5e9648%2Fe9f08229-bc94-44cf-ac13-b06b5f83f930%2F3xjrsv_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Description
Refer to the figure. Let the mass of the block be 5.90 kg and the angle \( \theta \) be 29.0°.
1. **(a)** Find the tension in the cord.
2. **(b)** Find the normal force acting on the block.
3. **(c)** If the cord is cut, find the magnitude of the block's acceleration.
### Diagram Description
#### Diagram (a)
This is a side view schematic diagram showing a block of mass \( m \) resting on a frictionless inclined plane. The angle of inclination is \( \theta \). A cord is attached to the block and supports it as it lies against a vertical wall.
#### Diagram (b)
A free-body diagram showing the forces acting on the block:
- \( \vec{F}_{N} \): The normal force acting perpendicular to the surface of the incline.
- \( \vec{T} \): The tension in the cord acting towards the top of the incline.
- \( \vec{F}_{g} \): The gravitational force acting vertically downward.
- Angles and components are marked, showing \( 90° - \theta \) and the angle \( \theta \).
#### Diagram (c)
A coordinate system is depicted with axes \( x \) and \( y \), breaking down the gravitational force \( \vec{F}_{g} \) into components:
- \( F_{g} \sin \theta \): The component of gravitational force parallel to the incline.
- \( F_{g} \cos \theta \): The component of gravitational force perpendicular to the incline.
This explanation and diagrams help in understanding how to calculate the tension in the cord, normal force, and subsequent acceleration when the cord is cut.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON