3. Consider the following mechanism shown in the figure: ● What is the value of 0 when OA is horizontal to the right? What is the value of the angle of the crank when DB is horizontal 360 mm 240 mm 100 mm 80 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
### Mechanism Analysis and Calculation

#### Problem Statement:

Consider the following mechanism shown in the figure:

1. What is the value of θ when OA is horizontal to the right?
2. What is the value of the angle of the crank when DB is horizontal?

#### Diagram Description:

The diagram illustrates a mechanical system involving a four-bar linkage. The mechanism consists of the following key components:

- A bar AO of length 80 mm.
- A link AB of length 240 mm.
- A coupler link BB1 of length 100 mm.
- A load bin represented by a 360 mm diagonal on which material is being loaded.

Key points in the diagram:
- Point O is the point of rotation for bar AO.
- Point A is where link AB is attached to bar AO and rotates around it.
- Point B is the end joint of link AB.
- Point D is where the mechanism supports the loading bin.

#### Problem Solution:

Given the parameters in the mechanism, we need to calculate the angles as follows:

1. **Finding the value of θ when OA is horizontal to the right:**

   To determine the value of θ when OA (the blue bar) is positioned horizontally to the right, identify the corresponding angular position in reference to point O.

2. **Determining the value of the angle of the crank when DB is horizontal:**

   When DB (part of the mechanism attached to the load bin) is horizontal, identify the angular displacement from the given mechanic components to find the angle of the crank.

### Graph or Diagram Interpretation:

- The horizontal configuration of components OA and DB indicates specific angular setups within the four-bar linkage.
- Measurements such as 360 mm (load bin diagonal), 240 mm (link AB), 100 mm (BB1 coupled link), and 80 mm (bar AO) are crucial for geometric calculations and determining angular positions.

The completion of these calculations requires trigonometric relationships and geometric understanding of the four-bar linkage mechanism.

For an educational site, providing detailed calculations, step-by-step geometric analyses, and solved examples based on similar mechanisms would greatly enhance the comprehension of such mechanical problems.
Transcribed Image Text:### Mechanism Analysis and Calculation #### Problem Statement: Consider the following mechanism shown in the figure: 1. What is the value of θ when OA is horizontal to the right? 2. What is the value of the angle of the crank when DB is horizontal? #### Diagram Description: The diagram illustrates a mechanical system involving a four-bar linkage. The mechanism consists of the following key components: - A bar AO of length 80 mm. - A link AB of length 240 mm. - A coupler link BB1 of length 100 mm. - A load bin represented by a 360 mm diagonal on which material is being loaded. Key points in the diagram: - Point O is the point of rotation for bar AO. - Point A is where link AB is attached to bar AO and rotates around it. - Point B is the end joint of link AB. - Point D is where the mechanism supports the loading bin. #### Problem Solution: Given the parameters in the mechanism, we need to calculate the angles as follows: 1. **Finding the value of θ when OA is horizontal to the right:** To determine the value of θ when OA (the blue bar) is positioned horizontally to the right, identify the corresponding angular position in reference to point O. 2. **Determining the value of the angle of the crank when DB is horizontal:** When DB (part of the mechanism attached to the load bin) is horizontal, identify the angular displacement from the given mechanic components to find the angle of the crank. ### Graph or Diagram Interpretation: - The horizontal configuration of components OA and DB indicates specific angular setups within the four-bar linkage. - Measurements such as 360 mm (load bin diagonal), 240 mm (link AB), 100 mm (BB1 coupled link), and 80 mm (bar AO) are crucial for geometric calculations and determining angular positions. The completion of these calculations requires trigonometric relationships and geometric understanding of the four-bar linkage mechanism. For an educational site, providing detailed calculations, step-by-step geometric analyses, and solved examples based on similar mechanisms would greatly enhance the comprehension of such mechanical problems.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Forced Undamped Vibrations
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