From 3a42ad397a94ee97844e8e48cedc19504dbc4771 Mon Sep 17 00:00:00 2001 From: "Melany D. Opolz" Date: Sat, 7 Sep 2024 14:50:51 -0500 Subject: [PATCH] Update particle_kinematics.astro Minor updates --- src/pages/dyn/particle_kinetics.astro | 23 +++++++++-------------- 1 file changed, 9 insertions(+), 14 deletions(-) diff --git a/src/pages/dyn/particle_kinetics.astro b/src/pages/dyn/particle_kinetics.astro index aa28aaf9..6eac7cfa 100644 --- a/src/pages/dyn/particle_kinetics.astro +++ b/src/pages/dyn/particle_kinetics.astro @@ -382,13 +382,10 @@ import DisplayTable from "../../components/DisplayTable.astro" - - \label sub:PartKin_turns - Complete in "Banked turns". Just the introduction and the information under "Track geometry" and "Point mass model". +

- Turning in a circle requires a vehicle to have a centripetal acceleration inwards + Turning in a circle requires a vehicle to have a centripetal acceleration inwards on the turn, and so there must be some centripetal force that produces this acceleration. For a vehicle driving on flat ground, this force must be produced by a sideways @@ -458,8 +455,7 @@ import DisplayTable from "../../components/DisplayTable.astro" curve.

  • Video of - the bus shown in Figure #avb‑fc.
  • + the bus shown in coach figure.
  • Video taken from inside a car driving around the @@ -469,7 +465,7 @@ import DisplayTable from "../../components/DisplayTable.astro" - +

    To understand the dynamics of the bus above, we first need a simple model of the geometry of @@ -501,10 +497,10 @@ import DisplayTable from "../../components/DisplayTable.astro" class="option-toggle:avb-fg-c:vectors" onclick="avb_fg_c.toggleOption('vectors')">vectors for velocity, acceleration, and force as the bus drives around the track. We assume constant speed, so there is only an - acceleration when the velocity - changes direction around the corners. This model assumes - semi-circular track ends, but this is - not a good idea in practice. + acceleration when the velocity + changes direction around the corners. This model assumes + semi-circular track ends, but this is + not a good idea in practice.

    @@ -568,8 +564,7 @@ import DisplayTable from "../../components/DisplayTable.astro" angle \(\theta\) below, then we see that a friction force \(F\) tangential to the road is needed to keep the bus from sliding. In practice, this force will be limited by \(F \le - \mu N\), where \(\mu\) is the coefficient of friction. If we + \mu N\), where \(\mu\) is the coefficient of friction. If we incline the track until it is nearly vertical, we see that there a huge friction force would be required but only a tiny normal force is available. As this would not be