3) What are the coordinates of the center of mass of the uniform steel plate represented by the grey shaded area? The units are in meters. A) rcom = (1.7, 1.8) В) Гcom C) rcom D) r com (1.8, 1.9) (1.75, 2.0) (1.8, 1.7) (1.9, 1.8) 3- E) rcom F) rcom (write in (x, y) values) -1 0. 1 3 4

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem:**

What are the coordinates of the center of mass of the uniform steel plate represented by the grey shaded area? The units are in meters.

A) \( r_{\text{com}} = (1.7, 1.8) \)

B) \( r_{\text{com}} = (1.8, 1.9) \)

C) \( r_{\text{com}} = (1.75, 2.0) \)

D) \( r_{\text{com}} = (1.8, 1.7) \) (Correct Answer)

E) \( r_{\text{com}} = (1.9, 1.8) \)

F) \( r_{\text{com}} = \text{( , )} \) (write in \( (x, y) \) values)

**Diagram Explanation:**

The graph on the right illustrates a coordinate grid with a shaded area representing the steel plate. The axis labels are \( x \) and \( y \), extending from \(-1\) to \(5\) on the \(x\)-axis and from \(0\) to \(5\) on the \(y\)-axis.

The grey shaded area covers four grid units:
- From \(x = 1\) to \(x = 3\) (covering columns \(1\) and the lower part of column \(3\)), and from \(y = 2\) to \(y = 4\) (covering rows \(2\) and \(3\)).

To find the center of mass, calculate the average \(x\) and \(y\) coordinates of the shaded grid squares. 

The answer marked as correct is option D: \( r_{\text{com}} = (1.8, 1.7) \).
Transcribed Image Text:**Problem:** What are the coordinates of the center of mass of the uniform steel plate represented by the grey shaded area? The units are in meters. A) \( r_{\text{com}} = (1.7, 1.8) \) B) \( r_{\text{com}} = (1.8, 1.9) \) C) \( r_{\text{com}} = (1.75, 2.0) \) D) \( r_{\text{com}} = (1.8, 1.7) \) (Correct Answer) E) \( r_{\text{com}} = (1.9, 1.8) \) F) \( r_{\text{com}} = \text{( , )} \) (write in \( (x, y) \) values) **Diagram Explanation:** The graph on the right illustrates a coordinate grid with a shaded area representing the steel plate. The axis labels are \( x \) and \( y \), extending from \(-1\) to \(5\) on the \(x\)-axis and from \(0\) to \(5\) on the \(y\)-axis. The grey shaded area covers four grid units: - From \(x = 1\) to \(x = 3\) (covering columns \(1\) and the lower part of column \(3\)), and from \(y = 2\) to \(y = 4\) (covering rows \(2\) and \(3\)). To find the center of mass, calculate the average \(x\) and \(y\) coordinates of the shaded grid squares. The answer marked as correct is option D: \( r_{\text{com}} = (1.8, 1.7) \).
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