Chapter 8.3, Problem 21E

### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

Chapter
Section

### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

# Point-masses mi are located on the x-axis as shown. Find the moment M of the system about the origin and the center of mass x ¯ .21.

To determine

To find: The moment (M) of the system about the origin and the center of mass (x¯).

Explanation

Given:

The mass m1=6 at a distance x1=10.

The mass m2=9 at a distance x2=30.

Number of count is n=2.

Calculation:

Calculate the moment (M) of the system about the origin:

M=âˆ‘i=1nmixi (1)

Substitute 2 for n in Equation (1).

M=âˆ‘i=12mixi=m1x1+m2x2 (2)

Substitute 6 for m1, 9 for m2, 10 for x1, and 30 for x2 in Equation (2)

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