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The center of gravity is the same thing as the center of mass, except when the gravitational field you are in is not uniform.
1 Where's the center?
For triangles:
- Perpendicular bisectors: circumcenter, equal distance
- Angle bisectors: inter-center (inscribe a circle)
- Medians: split the medians
2 Newton's Laws
- Law of Inertia: An object at rest stays a rest, unless acted upon by a force; object in motion stays in constant motion unless acted
- \(\vec{F_{net}} = m\vec{a}\)
- For a set of objects A,B, Force of A->B is equal to negative of Force of B->A
\(\vec{F_{net_{system}}} = Ma_{cm}\). The force of the system is the mass times the acceleration by the center of mass.