Find the Center of Mass of the System Comprising Masses

question 24

Essay

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.
m₁ = 3, m₂ = 4, m₃ = 5
P₁ (-3, 5), P₂ (3, 4), P₃ (-4, 1)

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Definitions:

Parasympathetic Arousal

The activation of the parasympathetic nervous system, leading to relaxation and decreased heart rate.

Polygraph

A polygraph, or lie detector test, measures physiological responses to questions to determine truthfulness.

Parasympathetic Nervous System

Part of the autonomic nervous system that helps the body conserve energy and promotes relaxation and digestion.

Somatic Nervous System

A component of the peripheral nervous system that controls voluntary movements of the body's muscles.