This is the third part of my complete notes for Classical Mechanics, covering further topics of Dynamics such as Momentum, [[[, and more. Due to the large scale of this topic, I have had to split even the complete notes into multiple parts.
I color-coded my notes according to their meaning - All numbered notes (which I call rules) are red, and include examples and the basis for understanding a topic. Definitions are written in green, and other important information (such as large-scale drawings that are better visualized than explained) was written in blue. All of this information is preserved on this page, with logical flow and breaks. I use ascii line drawings sparingly - If I can convey information or a graph using an image online, I will do so.
All of the knowledge present in these notes are filtered through my personal explanations for them, the result of my attempts to understand and study them from my classes. In the unlikely event there are any egregious errors, contact me at jdlacabe@gmail.com.
Summary of Classical Mechanics, Part 3: Dynamics (cont.)
Table Of Contents
VIII. Momentum & Center of Mass
VIII.I Center of Mass.
# P. Rule 105. EVERYTHING moves in the parabolar shape as it is thrown in the air. The motion of irregularly shaped objects, like a hammer, seems to be much more complicated. However, you must see through the propaganda and see that the hammer rotates around its center of mass, and the motion of the center of mass of the hammer still follows a parabola just like a ball or something else with a symmetrical shape/constant density. Evidence:
VIII.II Momentum Basics.
Units: (kg) × (m / s), which has no special name.
Equation: p = m × v
p = Momentum.
m = Mass.
v = Velocity.
Definition: The energy stored in an object due to the temporary deformation of that object (e.g., elasticity before the elastic limit, the restoring force trying to bring it back to equilibrium). Most commonly, springs are the objects with elastic potential energy, though any object that is able to deform slightly and regain its initial shape has it as well. For example, a slighlty deflated ball will have elastic potential energy when it hits the ground and compresses slightly before reforming.[[[[[[[[[[[[[[[[
# NEW VERSION(S) OF THE 2ND LAW OF MOTION:
ΣF = (∆p / ∆t) (Average)
ΣF = (dp / dt) (Instantaneous)
This equation is derived from the original 2nd law and from the momentum equation. It is so obvious I will not bother to reproduce the proof here. If you need to derive it, think very hard for a few seconds.
