Three point masses are placed at the corners of a triangle as shown in the figure below.- A mass of 115 g is located at the lower left corner.- A mass of 80 g is located at the top corner, 2 cm above the lower right corner.- A mass of 170 g is located at the lower right corner, which is the origin of the coordinate system.The distances between the masses are labeled as:- 4 cm between the 115 g and 170 g masses.- 2 cm vertically between the 170 g and 80 g masses.Find the center of mass of the three-mass system (in cm). (Assume that the +x-axis is to the right and the +y-axis is up along the page. Take the origin to be at the position of the 170 g mass.)\[x_{CM} = \Box \text{ cm}\]\[y_{CM} = \Box \text{ cm}\]

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Answered: the center of mass of the three-masss

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the center of mass of the three-masss

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Question

Three point masses are placed at the corners of a triangle as shown in the figure below.

- A mass of 115 g is located at the lower left corner.
- A mass of 80 g is located at the top corner, 2 cm above the lower right corner.
- A mass of 170 g is located at the lower right corner, which is the origin of the coordinate system.

The distances between the masses are labeled as:

- 4 cm between the 115 g and 170 g masses.
- 2 cm vertically between the 170 g and 80 g masses.

Find the center of mass of the three-mass system (in cm). (Assume that the +x-axis is to the right and the +y-axis is up along the page. Take the origin to be at the position of the 170 g mass.)

\[
x_{CM} = \Box \text{ cm}
\]

\[
y_{CM} = \Box \text{ cm}
\]

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