**Problem No. 3****Objective:**Determine the location \( y \) of the center of mass \( G \) of the assembly.**Given:**- The block has a mass of 3 kg.- The semi-cylinder has a mass of 5 kg.**Diagram Explanation:**The accompanying diagram shows a composite shape consisting of a block and a semi-cylinder. The block is rectangular with a height of 300 mm and a base of 400 mm. Attached beneath it is a semi-cylinder with a radius of 200 mm.- The center of mass \( G \) is marked on the assembly.- The base of the semi-cylinder aligns horizontally with point \( O \), which is centered under the semi-cylinder.- Dimensions are given in millimeters: - The width of the block and the diameter of the semi-cylinder are both 400 mm. - The height of the block is 300 mm. - The radius of the semi-cylinder is 200 mm.**Task:**Calculate the vertical position \( y \), the center of mass along the assembly's vertical axis.

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Determine the location y of the center of mass G of the assembly. The block has a mass of 3 kg and the semi-cylinder has a mass of 5 kg. 400 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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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

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**Problem No. 3**

**Objective:**
Determine the location \( y \) of the center of mass \( G \) of the assembly.

**Given:**
- The block has a mass of 3 kg.
- The semi-cylinder has a mass of 5 kg.

**Diagram Explanation:**

The accompanying diagram shows a composite shape consisting of a block and a semi-cylinder. The block is rectangular with a height of 300 mm and a base of 400 mm. Attached beneath it is a semi-cylinder with a radius of 200 mm.

- The center of mass \( G \) is marked on the assembly.
- The base of the semi-cylinder aligns horizontally with point \( O \), which is centered under the semi-cylinder.
- Dimensions are given in millimeters:
- The width of the block and the diameter of the semi-cylinder are both 400 mm.
- The height of the block is 300 mm.
- The radius of the semi-cylinder is 200 mm.

**Task:**
Calculate the vertical position \( y \), the center of mass along the assembly's vertical axis.

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