Three 87.0 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0, 0), mass B is at (11.2, 20.5), and mass C is at (17.3, 14.4). Find the x- and y-coordinates of the center of mass of the triangular object. Xcm = cm A Ycm = B C cm

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**Problem Statement:**

Two more 87.0 g masses are connected by a straight piece of wire and affixed to the original configuration as shown. The coordinates of mass D are (0, -30.6) and the coordinates of mass E are (0, 30.6). Find the x- and y-coordinates of the new center of mass of the combined object.

**Diagram Description:**

The diagram is a coordinate plane with the x-axis and y-axis. 

- Point A is located at the origin (0, 0).
- Point B is positioned in the first quadrant.
- Point C is also in the first quadrant, along the x-axis.
- Point D is located at (0, -30.6) on the y-axis, indicating it is directly below the origin.
- Point E is at (0, 30.6) on the y-axis, directly above the origin.

Black dots represent the masses at each labeled point, connected by lines to form geometric shapes. The masses are all connected to point A, either directly or through other masses. 

The problem involves calculating the coordinates of the combined center of mass for the entire structure, including the newly added masses at points D and E.
Transcribed Image Text:**Problem Statement:** Two more 87.0 g masses are connected by a straight piece of wire and affixed to the original configuration as shown. The coordinates of mass D are (0, -30.6) and the coordinates of mass E are (0, 30.6). Find the x- and y-coordinates of the new center of mass of the combined object. **Diagram Description:** The diagram is a coordinate plane with the x-axis and y-axis. - Point A is located at the origin (0, 0). - Point B is positioned in the first quadrant. - Point C is also in the first quadrant, along the x-axis. - Point D is located at (0, -30.6) on the y-axis, indicating it is directly below the origin. - Point E is at (0, 30.6) on the y-axis, directly above the origin. Black dots represent the masses at each labeled point, connected by lines to form geometric shapes. The masses are all connected to point A, either directly or through other masses. The problem involves calculating the coordinates of the combined center of mass for the entire structure, including the newly added masses at points D and E.
Three 87.0 g masses are connected in a triangular shape by massless rigid wires as shown in the diagram. The coordinates of each mass are given in centimeters. Mass A is located at (0, 0), mass B is at (11.2, 20.5), and mass C is at (17.3, 14.4). 

Find the x- and y-coordinates of the center of mass of the triangular object.

**Diagram Explanation:**

- There is a right-angle coordinate system with point A at the origin (0,0).
- Mass B is positioned at coordinate (11.2, 20.5).
- Mass C is at coordinate (17.3, 14.4).
- These points are connected by lines forming a triangle.

**Calculation Input Fields:**

- \( x_{cm} = \) _____ cm
- \( y_{cm} = \) _____ cm

Fill in the values for \( x_{cm} \) and \( y_{cm} \) after calculating the center of mass.
Transcribed Image Text:Three 87.0 g masses are connected in a triangular shape by massless rigid wires as shown in the diagram. The coordinates of each mass are given in centimeters. Mass A is located at (0, 0), mass B is at (11.2, 20.5), and mass C is at (17.3, 14.4). Find the x- and y-coordinates of the center of mass of the triangular object. **Diagram Explanation:** - There is a right-angle coordinate system with point A at the origin (0,0). - Mass B is positioned at coordinate (11.2, 20.5). - Mass C is at coordinate (17.3, 14.4). - These points are connected by lines forming a triangle. **Calculation Input Fields:** - \( x_{cm} = \) _____ cm - \( y_{cm} = \) _____ cm Fill in the values for \( x_{cm} \) and \( y_{cm} \) after calculating the center of mass.
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