A small 5-kg sphere moves at a constant speed along the horizontal circular path. Note that ACB is a single wire passing through a ring at C attached to the sphere. Calculate the speed of the sphere, when 0₁ = 50°, d= 0.8 m, the radius of the circular path is 1.6207 m, and the tension in both portions of the wire is 43 N. Present your answer in m/sec using 3 significant figures. A B 0₂ 0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
**Problem Statement:**

A small 5-kg sphere moves at a constant speed along a horizontal circular path. Note that ACB is a single wire passing through a ring at C attached to the sphere. Calculate the speed of the sphere, when:

- \( \theta_1 = 50^\circ \)
- \( d = 0.8 \, \text{m} \)
- The radius of the circular path is \( 1.6207 \, \text{m} \)
- The tension in both portions of the wire is \( 43 \, \text{N} \).

Present your answer in m/sec using 3 significant figures.

**Diagram Explanation:**

The diagram depicts a vertical post with a single wire (ACB) looped through a ring at point C. This setup holds a 5-kg sphere in a horizontal circular motion. The wire segments create angles \(\theta_1\) and \(\theta_2\) with the vertical line from point B.

- \( A \) is the top anchor point of the wire.
- \( B \) is the lower anchor point on the post.
- \( d = 0.8 \, \text{m} \) is the vertical distance between points A and B.
- \(\theta_1 = 50^\circ\) is the angle of the wire at point B with respect to the vertical post.
Transcribed Image Text:**Problem Statement:** A small 5-kg sphere moves at a constant speed along a horizontal circular path. Note that ACB is a single wire passing through a ring at C attached to the sphere. Calculate the speed of the sphere, when: - \( \theta_1 = 50^\circ \) - \( d = 0.8 \, \text{m} \) - The radius of the circular path is \( 1.6207 \, \text{m} \) - The tension in both portions of the wire is \( 43 \, \text{N} \). Present your answer in m/sec using 3 significant figures. **Diagram Explanation:** The diagram depicts a vertical post with a single wire (ACB) looped through a ring at point C. This setup holds a 5-kg sphere in a horizontal circular motion. The wire segments create angles \(\theta_1\) and \(\theta_2\) with the vertical line from point B. - \( A \) is the top anchor point of the wire. - \( B \) is the lower anchor point on the post. - \( d = 0.8 \, \text{m} \) is the vertical distance between points A and B. - \(\theta_1 = 50^\circ\) is the angle of the wire at point B with respect to the vertical post.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY