Cracking the AP Physics 1 Exam, 2018 Edition by The Princeton Review

Author:The Princeton Review
Language: eng
Format: epub
Publisher: Princeton Review
Published: 2017-10-17T04:00:00+00:00

In some cases the center of mass is not located on the body of the object:

The center of mass remains motionless while every other point undergoes circular motion around it. To locate the mass of a collection of objects, we must consider each indivdual mass and a central reference point:

x(c.m.) = (x1m1 + x2m2 + x3m3 +…+ xnmn) / (m1 + m2 + m3 +…+ mn)

The location of the center of mass is denoted as x(c.m.). In order to use this equation we must follow a few steps:

1. Pick a convenient origin. We will call this our reference point (x = 0).

2. Determine the locations (x1, x2, x3,…, xn) of the objects.

3. Calculate the center of mass by using the formula above.

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