Find the Center of Mass of the System Comprising Masses $m _ { k }$

question 66

Short Answer

Find the center of mass of the system comprising masses $m _ { k }$ located at the points $P _ { k }$ in a coordinate plane. Assume that mass is measured in grams and distance is measured in centimeters.
$$\begin{array} { l } m _ { 1 } = 4 , \quad m _ { 2 } = 3 , \quad m _ { 3 } = 1 \\P _ { 1 } ( 3 , - 3 ) , \quad P _ { 2 } ( 5 , - 1 ) , \quad P _ { 3 } ( 2 , - 5 )\end{array}$$

---

Definitions:

Dialog Box

A small window that prompts the user to provide information or make decisions within a software interface.

Slope

The determination of how steep or inclined a line is, identified by the relationship between its vertical shift and horizontal shift when examining two specific points on the line.

Intercept

In linear regression, it is the expected value of the dependent variable when all predictors are equal to zero.

Predicted GPA

An estimate of a student's grade point average based on certain predictive factors or models.