### 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.

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

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

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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.

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