Q.5) A weightless Collar C is attached to the cable CD and can freely slide on the cylindrical bar AB. If the tension in the cable CD is 200 N, determine the components of this tension parallel and perpendicular bar AB. Also find the angle between bar AB and cable CD. The coordinate of point C (80 mm, 220 mm, 80 mm). 60 mm 120 mm D 240 mm 240 mm 280 mm SC 120 mm 300 mm

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:
**Q.5)** A weightless Collar C is attached to the cable CD and can freely slide on the cylindrical bar AB. If the tension in the cable CD is 200 N, determine the components of this tension parallel and perpendicular to bar AB. Also find the angle between bar AB and cable CD. 

The coordinate of point C (80 mm, 220 mm, 80 mm).

### Detailed Diagram Description:
An engineering diagram is provided to illustrate the setup:

- **Coordinates and Points:**
  - Point \(O\) is at the origin (0,0,0).
  - Point \(A\) is located at (60 mm along y-axis, 240 mm along z-axis).
  - Point \(B\) is positioned at (300 mm along x-axis, 120 mm along y-axis).
  - Point \(D\) is at (120 mm along y-axis, 280 mm along z-axis).
  - The position of Point \(C\) is given as (80 mm along x-axis, 220 mm along y-axis, 80 mm along z-axis).

- **Bar AB:**
  - Bar \(AB\) is a cylindrical rod extending from point \(A\) to point \(B\):
    - Vector \( \overrightarrow{AB} \) is defined from point \(A(0, 60, 240)\) to point \(B(300, 120, 0)\).

- **Cable CD:**
  - Cable \(CD\) is attached to Point \(D\) and the sliding collar \(C\):
    - Point \(D\) is at coordinates (0, 120, 280).
    - Point \(C\) slides along the bar.

- **Dimensions:**
  - The length of \( \overrightarrow {OA} \) is 240 mm.
  - The length of \( \overrightarrow {OB} \) is 300 mm.
  - The distance \(OC\) horizontally from the y-axis is 80 mm, vertically \(OC\) is 220 mm upwards, and 80 mm along the z-axis.
  - Vector lengths and dimensions are further specified for visual clarity.

### Instructions for Solution:
1. **Determine the components of the tension in cable CD:**
   - Using vector decomposition, resolve the 200 N tension into two components: one parallel to bar AB and the other perpendicular to
Transcribed Image Text:### Problem Statement: **Q.5)** A weightless Collar C is attached to the cable CD and can freely slide on the cylindrical bar AB. If the tension in the cable CD is 200 N, determine the components of this tension parallel and perpendicular to bar AB. Also find the angle between bar AB and cable CD. The coordinate of point C (80 mm, 220 mm, 80 mm). ### Detailed Diagram Description: An engineering diagram is provided to illustrate the setup: - **Coordinates and Points:** - Point \(O\) is at the origin (0,0,0). - Point \(A\) is located at (60 mm along y-axis, 240 mm along z-axis). - Point \(B\) is positioned at (300 mm along x-axis, 120 mm along y-axis). - Point \(D\) is at (120 mm along y-axis, 280 mm along z-axis). - The position of Point \(C\) is given as (80 mm along x-axis, 220 mm along y-axis, 80 mm along z-axis). - **Bar AB:** - Bar \(AB\) is a cylindrical rod extending from point \(A\) to point \(B\): - Vector \( \overrightarrow{AB} \) is defined from point \(A(0, 60, 240)\) to point \(B(300, 120, 0)\). - **Cable CD:** - Cable \(CD\) is attached to Point \(D\) and the sliding collar \(C\): - Point \(D\) is at coordinates (0, 120, 280). - Point \(C\) slides along the bar. - **Dimensions:** - The length of \( \overrightarrow {OA} \) is 240 mm. - The length of \( \overrightarrow {OB} \) is 300 mm. - The distance \(OC\) horizontally from the y-axis is 80 mm, vertically \(OC\) is 220 mm upwards, and 80 mm along the z-axis. - Vector lengths and dimensions are further specified for visual clarity. ### Instructions for Solution: 1. **Determine the components of the tension in cable CD:** - Using vector decomposition, resolve the 200 N tension into two components: one parallel to bar AB and the other perpendicular to
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
Buckling of Columns
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
  • SEE MORE 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