A floor hoist supports an engine of weight WE 2.9 kN. As illustrated in the figure below, the floor hoist has the following dimensions. a-120 cm, b=40 cm, c= 90 cm, d- 60 cm, = 15° Based on the given value for the engine weight We, determine the force that this load creates in member AB, which contains the hydraulic cylinder, and at the pin at C. Submit your answer for the load in member AB to this question, and include your answers for the load in the hydraulic cylinder AB and at the pin at C in your solution report. Hint: Use the law of cosines and law of sines to determine 8. A -b- C C
A floor hoist supports an engine of weight WE 2.9 kN. As illustrated in the figure below, the floor hoist has the following dimensions. a-120 cm, b=40 cm, c= 90 cm, d- 60 cm, = 15° Based on the given value for the engine weight We, determine the force that this load creates in member AB, which contains the hydraulic cylinder, and at the pin at C. Submit your answer for the load in member AB to this question, and include your answers for the load in the hydraulic cylinder AB and at the pin at C in your solution report. Hint: Use the law of cosines and law of sines to determine 8. A -b- C C
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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
Transcribed Image Text:The image depicts a diagram of a mechanical crane system used to lift heavy objects. It includes several labeled components and dimensions, which are detailed below:
1. **Components:**
- **G**: The pivot point at the top of the crane arm.
- **A, B, C, D, E**: Key points on the crane structure where different components connect.
- **Suspension Chain**: Hangs from point G and supports the weight of the object.
- **Hydraulic Cylinder**: Connects points A and B, used to adjust the angle θ.
2. **Dimensions:**
- **a**: The horizontal distance from point G to the end of the crane arm.
- **b**: The horizontal distance from point G to point A.
- **c**: The vertical distance from point C to point B.
- **d**: The vertical distance from point D to point B.
- **θ**: The angle between the hydraulic cylinder and the horizontal line AC.
3. **Object:**
- A heavy object, possibly an engine, is suspended from the crane arm using a chain.
This diagram illustrates the relationship between the components and how the hydraulic cylinder affects the positioning of the load. Understanding these elements is crucial for applications in mechanical engineering and physics, particularly in studying the mechanics of lifting systems.

Transcribed Image Text:**Educational Resource: Analysis of Forces in a Floor Hoist System**
**Problem Statement:**
A floor hoist supports an engine with a weight \( W_E = 2.9 \, \text{kN} \). As illustrated in the figure below, the floor hoist has the following dimensions:
- \( a = 120 \, \text{cm} \)
- \( b = 40 \, \text{cm} \)
- \( c = 90 \, \text{cm} \)
- \( d = 60 \, \text{cm} \)
- \( \phi = 15^\circ \)
Based on the given value for the engine weight \( W_E \), determine the force that this load creates in member \( AB \), which contains the hydraulic cylinder, and at the pin at \( C \).
**Instructions:**
Submit your answer for the load in member \( AB \) to this question, and include your answers for the load in the hydraulic cylinder \( AB \) and at the pin at \( C \) in your solution report.
**Hint:**
Use the law of cosines and law of sines to determine \( \theta \).
**Diagram Explanation:**
The diagram depicts a floor hoist system supporting an engine. The hoist has different sections labeled with specific dimensions:
- The horizontal arm of the hoist, which is split into two segments: \( a \) and \( b \).
- A vertical segment denoted as \( c \).
- An angular inclination noted as \( \phi = 15^\circ \).
- The angle \( \theta \) at point \( A \) that needs to be calculated using trigonometric laws.
Each segment is connected with pins and a hydraulic cylinder. The chain supports the engine from the horizontal segment. Understanding and calculating the forces acting within this system are crucial for proper mechanical design and ensuring safe operations.
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