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Physics & Engineering Applications

Question #4 (Medium): Finding the Moment and the Center of Mass

Strategy

Moment of the system about the -axis is

: because about the -axis the distance of is

considered.

Moment of the system about the -axis is

: because about the -axis the distance of is

considered.

Sample Question

The -axis shows point-masses located on the -axis. Find the moment of the system about the

origin and the center of mass.

Number line with points at:

with

with

with

Solution

Since the number line only presents one dimensional line with only values to deal with, moment is

given by:

. Thus,

The total mass of the system is

Therefore, the center of mass of the system is

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