Differences

This shows you the differences between two versions of the page.

--- 183_notes:constantf [2021/02/04 23:27] – [Predicting the Motion] stumptyl
+++ 183_notes:constantf [2022/01/17 17:51] – pwirving
@@ Line 15: / Line 15: @@
 Depending on how you select your coordinate system, it might mean that more than one component of the momentum vector changes. Often, it is convenient to select a coordinate system where the net force is aligned with a coordinate direction, then only one momentum vector component changes in time.
+{{youtube>1RP2oSBAQJI}}
-==== Predicting the Motion ====
+====== Predicting the Motion ======
 Consider a fan cart that is released on a low-friction track. Here's a video of the situation.
@@ Line 30: / Line 33: @@
 \\
-=== Deriving the Equation for Constant Force Motion in 1D ===
+===== Deriving the Equation for Constant Force Motion in 1D ====
 If you choose the horizontal direction to be the x-direction, we have the following equations to describe the motion.
@@ Line 58: / Line 61: @@
 \\
-== Connection to Energy ==
+==== Connection to Energy ====
 As you will read, the motion of systems can also be predicted or explained by using the [[183_notes:define_energy|energy principle]] in addition to or, as an alternative, to using the [[183_notes:momentum_principle|momentum principle]]. You will find that using energy, you can often think about [[183_notes:grav_and_spring_pe|the initial and final states of the system's motion]] and not how that motion evolves (e.g., over what time the motion occurs).
@@ Line 68: / Line 71: @@
 Again, as you will read, this equation can also be derived from [[183_notes:work|the relationship between kinetic energy and work]].
-=== Constant Force in 3D ===
+\\
+==== Constant Force in 3D ====
 The derivation for each dimension is similar (so long as the force is constant in each direction). The result is the following general equation,