### Problem 5-78The member is supported by a pin at \(A\) and cable \(BC\). Determine the components of reaction at these supports if the cylinder has a mass of 40 kg.#### Explanation of Diagram- **Member and Supports:** - The member is depicted in blue, supported at two points: a pin at point \(A\) and a cable attached to point \(B\). - **Coordinate Axes:** - The axes are labeled as \(x\), \(y\), and \(z\), indicating a 3-dimensional coordinate system.- **Dimensions:** - The distance from point \(A\) to the attachment point \(B\) of the cable along the \(z\)-axis is 0.5 meters. - The distance from point \(A\) to point \(C\) along the \(x\)-axis is 3 meters. - The cable \(BC\) connects to a point directly above \(C\) at 1 meter along the \(y\)-axis. - The distance from point \(C\) vertically downward to point \(D\) is 1 meter.- **Load:** - A cylindrical load of 40 kg is hanging from cable \(CD\).This setup requires calculating the reaction forces at both the pin \(A\) and cable \(BC\), considering the weight of the cylinder and the geometry of the system.

Given data: m=40 kg Need to determine the component of the reaction at the support.

Answered: 5-78. The member is supported by a pin…

5-78. The member is supported by a pin at A and cable BC. Determine the components of reaction at these supports if the cylinder has a mass of 40 kg. Problem 5-78 D m Im 0.5 m B Z 3 m 1m

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

### Problem 5-78

The member is supported by a pin at \(A\) and cable \(BC\). Determine the components of reaction at these supports if the cylinder has a mass of 40 kg.

#### Explanation of Diagram

- **Member and Supports:**
- The member is depicted in blue, supported at two points: a pin at point \(A\) and a cable attached to point \(B\).

- **Coordinate Axes:**
- The axes are labeled as \(x\), \(y\), and \(z\), indicating a 3-dimensional coordinate system.

- **Dimensions:**
- The distance from point \(A\) to the attachment point \(B\) of the cable along the \(z\)-axis is 0.5 meters.
- The distance from point \(A\) to point \(C\) along the \(x\)-axis is 3 meters.
- The cable \(BC\) connects to a point directly above \(C\) at 1 meter along the \(y\)-axis.
- The distance from point \(C\) vertically downward to point \(D\) is 1 meter.

- **Load:**
- A cylindrical load of 40 kg is hanging from cable \(CD\).

This setup requires calculating the reaction forces at both the pin \(A\) and cable \(BC\), considering the weight of the cylinder and the geometry of the system.

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