1. Three particles are located as in the figure below. Find the center of mass of the system. Express your answer as a position vector in component form with the origin located at the 100g mass. Assume the positive x-axis is to the right and the positive y-axis is up. 75 g 100 g 4 cm 3 cm 150 g cm i+ cmi

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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**Problem Statement:**

1. Three particles are located as shown in the figure. Find the center of mass of the system. Express your answer as a position vector in component form with the origin located at the 100 g mass. Assume the positive x-axis is to the right and the positive y-axis is up.

**Diagram Explanation:**

The diagram shows a triangular arrangement of three masses:
- A 100 g mass located at the origin.
- A 150 g mass positioned 4 cm to the right of the 100 g mass along the x-axis.
- A 75 g mass located 3 cm above the 150 g mass.

**Solution Template:**

Position vector of the center of mass: \(\vec{r}_{cm} = \langle \, \text{(x-component)} \, \rangle \, \hat{i} + \langle \, \text{(y-component)} \, \rangle \, \hat{j}\)
Transcribed Image Text:**Problem Statement:** 1. Three particles are located as shown in the figure. Find the center of mass of the system. Express your answer as a position vector in component form with the origin located at the 100 g mass. Assume the positive x-axis is to the right and the positive y-axis is up. **Diagram Explanation:** The diagram shows a triangular arrangement of three masses: - A 100 g mass located at the origin. - A 150 g mass positioned 4 cm to the right of the 100 g mass along the x-axis. - A 75 g mass located 3 cm above the 150 g mass. **Solution Template:** Position vector of the center of mass: \(\vec{r}_{cm} = \langle \, \text{(x-component)} \, \rangle \, \hat{i} + \langle \, \text{(y-component)} \, \rangle \, \hat{j}\)
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