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physics/Force and Translational Dynamics/Force and Translational Dynamics.md

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+[[physics]]
+
+"Forces arise from interactions between two objects or systems of objects. Use free body diagrams and motion models to analyze the effects of forces on systems. Translate between different representations of forces and motion, and use models to analyze how interactions cause change. Practice deriving equations from fundamental principles and use proportional reasoning to make predictions."
+
+-Khan Academy

physics/Force and Translational Dynamics/Forces and Freebody Diagrams.md

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+[[Force and Translational Dynamics]]
+
+Force is a vector quantity measured in Newtons ($N$) caused by interactions between objects and systems.
+
+A Newton in terms of other units is $\frac{(kg)(m)}{s^2}$.
+
+# Free-Body Diagrams
+Free body diagrams show all the forces acting on a single object.
+
+typically used to figure out equations.
+
+aligning the objects coordinate system to be parallel or perpendicular to the accelerations makes it easier.
+
+![[Pasted image 20260814125859.png]]
+
+<small><font color="6e4928">I don't need some stupid crutch like that "Free-Body Diagram" crap. I just gotta pull as much power as I can from these equations and grit my teeth, and I'll overpower your fancy little tricks no problem.</font></small>

physics/Force and Translational Dynamics/Newton's First Law.md

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+[[Force and Translational Dynamics]]
+# Net Force and Translational Equilibrium
+
+
+# Newton’s First Law
+Unless an external force acts on an object, an object in motion stays in motion and an object at rest stays at rest.
+
+To confirm, observers would need an inertial reference frame (a reference frame still or moving at a constant rate), acceleration would make it look like there are forces that aren't there.

physics/Force and Translational Dynamics/Newton's Second Law.md

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+[[Force and Translational Dynamics]]

physics/Force and Translational Dynamics/Newton's Third Law.md

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+[[Force and Translational Dynamics]]
+
+Each force has an equal and opposite reaction.
+
+If I push a wall with 50N's, it'll push back with 50N's, called an action reaction pair.
+In formula format it's $F_{AB}=-F_{BA}$. The negative sign shows the forces point in opposite directions.
+This also means that if 2 objects push off each other their COM doesn't change.
+![[Pasted image 20260814131131.png]]
+
+# Tension
+Tension is a force applied by flexible connectors.
+
+An ideal <small>yisang</small> string is one with **negligible mass and does not stretch**. In these ideal strings tension is equal throughout, in non ideals tension differs in different parts.

physics/Force and Translational Dynamics/System and Center of Mass.md

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+[[Force and Translational Dynamics]]
+
+system in physics refers to the group of objects chosen for analysis
+a system may be influenced by objects outside the system
+if a system isnt influenced by outside things, its interaction is internal
+
+depending on the study, you can choose to leave things in or out (obviously)
+
+if multiple objects in a system move together or dont influence how the system interacts externally, it can be treated as a single object.
+
+# Center of Mass
+Center of mass is the average position of the total mass in the system.
+
+For many calculations, you can treat the system as a single object if you grab the center of mass.
+
+For a regular uniform object, the COM is usually the center. For objects with symmetrical mass distributions, the center of mass is in the center of the lines of symmetry. For irregularly shaped objects, it's skewed (no shit).
+
+Equation is:
+$$\vec{x}_{cm}=\frac{\Sigma m_i\vec{x}_i}{\Sigma m_i}$$
+
+
+