mths2007 add lecture notes on 1e, 1g

uni/mmme/2xxx/2044_design_manufacture_and_project/linkages.md

@@ -0,0 +1,82 @@
+---
+author: Akbar Rahman
+date: \today
+title: MMME2044 // Linkages
+tags: [ mmme2044, linkages, uni ]
+uuid: ae955a7e-bc65-4055-a79d-38b57c5a00a5
+---
+
+# Freedom and Constraints
+
+A body that is free in space can move in three, independent perpendicular directions and rotation
+in three ways about those directions.
+It is said to have 6 degrees of freedom (DoF).
+
+The number of degrees of freedom are the number of components of motion that are required in order
+to generate the motion.
+
+If a joint is constrained to move along a line, it has 1 degree of freedom.
+If a joint is constrained to a plane with no rotation then it has two degrees of freedom.
+
+## Gruebler's Equation of Degrees of Freedom
+
+$$M = 3L - 2J - 3G$$
+
+where $M$ is degrees of freedom, $L$ is number of links, $J$ is number of joints, and $G$ is number
+of grounded links.
+
+![](./images/vimscrot-2022-10-17T16:33:52,261209255+01:00.png)
+
+- if DoF > 0, it is a mechanism with relative motions
+- if DoF = 0, it is a structure without motion
+- if DoF < 0, it is a preloaded (or overly constrained) structure without motion but possibly
+  additional stress
+
+![](./images/vimscrot-2022-10-17T16:36:24,581871695+01:00.png)
+
+## Grashof Condition
+
+Four bar linkage is the simplest possible pin-jointed mechanism.
+
+The Grashof condition is a simple relationship that predicts the linkage behaviour based only on
+the lengths of the links.
+A linkage is a Grashof linkage if at least one link is capable of making a full revolution and
+the following equation holds true:
+
+$$S + L < P + Q$$
+
+where
+
+- $S$ is the length of shortest link
+- $L$ is the length of longest link
+- $P$ is the length of one remaining link
+- $Q$ is the length of other remaining link
+
+### Triple Rockers
+
+If $S + L > P + Q$ then it is not a Grashof linkage and is known as a triple rocker.
+
+![](./images/vimscrot-2022-10-17T21:50:13,068568249+01:00.png)
+
+### Double Cranks / Crank Rockers
+
+$$S + L = P + Q$$
+
+![](./images/vimscrot-2022-10-17T21:50:29,856118739+01:00.png)
+
+## Limit Conditions
+
+Toggle is an important test to check if the linkage can reach all specified positions without
+encountering a limit or toggle position, also called a station configuration.
+
+Toggle positions may be determined by collinearity of two links
+
+![](./images/vimscrot-2022-10-17T21:53:02,839579659+01:00.png)
+
+## Transmission Angle
+
+Transmission angle, $\mu$, is the angle between the output link and the coupler.
+
+It is a useful test to check the quality of the force transmission in a linkage.
+
+Ideally $\mu = 90$ deg but at minimum $\mu \ge 40$ deg.

uni/mmme/2xxx/2046_dynamics_and_control/dynamics.md

@@ -11,5 +11,46 @@ uuid: 98a5449a-02d3-492c-9d0e-3d3eb74baab5
 - Rigid Body - Distances between any two particles on a body remain constant---in real life we are
                looking for negligible deformation
 
+# Lecture 2 (W04/41)
+
+## Relative Motion
+
+![](./images/vimscrot-2022-10-17T09:09:23,080550083+01:00.png)
+
+where $_{BA}$ is read as "$B$ as seen by $A$".
+
+These equations must be treated as vectors.
+
+# Lecture 3 (W05/42)
+
+## Instantaneous Centre of Rotation
+
+This is a point with zero velocity at any particular moment.
+
+![](./images/vimscrot-2022-10-17T09:13:09,972195575+01:00.png)
+
+$$v_A = 0$$
+
+$$v_B = v_{BA}$$
+
+To find the centre of rotation you can draw to perpendicular lines to velocities from two non
+stationary points.
+The centre of rotation will be where the lines intersect.
+
+![](./images/vimscrot-2022-10-17T09:14:37,194818034+01:00.png)
+
+## Point Velocity Projections on Joining Axis
+
+Take two points $A$ and $B$ and their velocities at one instant
+
+\begin{align}
+v_B &= v_A = v_{BA} \\
+\text{then } \pmb{v_B} || AB &= \pmb{v_A} || AB + \pmb{v_{BA} || AB \\
+\text{but } \pmb{v_BA} || AB &\equiv 0 \text{(since $\pmb{v_BA} \perp AB$)} \\
+\text{or } \pmb{v_B| || AB &= \pmb{v_A} || AB \\
+v_B\cos\beta = v_A\cos\alpha \\
+\end{align}
+
+# zack.jpg
 
 ![zack.jpg](./images/zack.jpg)

uni/mmme/2xxx/2047_thermodynamics_and_fluid_dynamics/fluid_dynamics.md

@@ -1,28 +0,0 @@
----
-author: Akbar Rahman
-date: \today
-title: MMME2047 // Fluid Dynamics
-tags: [ mmme2047, uni, fluids, fluid_dynamics, fluid_dynamics ]
-uuid: d2b36b74-0661-47d2-8c1f-0bf7747ba7eb
----
-
-As this module builds on MMME1048, content covered in pages tagged [mmme1048](/.tags/mmme1048.html)
-may not be covered in these pages.
-
-# Data and Formula Sheet
-
-## International Association for the Properties of Water and Steam (IAPWS)
-
-- <http://iapws.org/relguide/IF97-Rev.html> 
-- [backup of IF97-Rev.pdf](./data_and_formulae_sheets/IF97-Rev.pdf)
-
-## Thermodynamic Tables to Accompany Modern Engineering Thermodynamics (Robert Balmer)
-
-- [Thermodynamic Tables to Accompany Modern Engineering Thermodynamics](https://ebookcentral.proquest.com/lib/nottingham/reader.action?docID=625295) (paywall)
-- [Pages 1-16](./data_and_formulae_sheets/thermodynamic_tables_robert_balmer.pdf)
-
-# Terminology
-
-- State --- condition of a fluid in a particular region, defined by properties
-- Property --- a measurable variable characteristic of a fluid
-- System --- a region of a fluid contained by real and/or imaginary boundaries

uni/mmme/2xxx/2047_thermodynamics_and_fluid_dynamics/seminar notes/.~lock.Chapter1-consolidation.docx#

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+,alvie,simon,15.10.2022 17:34,file:///home/alvie/.config/libreoffice/4;

uni/mmme/2xxx/2047_thermodynamics_and_fluid_dynamics/thermodynamics.md

@@ -0,0 +1,89 @@
+---
+author: Akbar Rahman
+date: \today
+title: MMME2047 // Thermodynamics
+tags: [ mmme2047, uni, thermodynamics ]
+uuid: d2b36b74-0661-47d2-8c1f-0bf7747ba7eb
+---
+
+As this module builds on MMME1048, content covered in pages tagged [mmme1048](/.tags/mmme1048.html)
+may not be covered in these pages.
+
+# Data and Formula Sheet
+
+## International Association for the Properties of Water and Steam (IAPWS)
+
+- <http://iapws.org/relguide/IF97-Rev.html> 
+- [backup of IF97-Rev.pdf](./data_and_formulae_sheets/IF97-Rev.pdf)
+
+## Thermodynamic Tables to Accompany Modern Engineering Thermodynamics (Robert Balmer)
+
+- [Thermodynamic Tables to Accompany Modern Engineering Thermodynamics](https://ebookcentral.proquest.com/lib/nottingham/reader.action?docID=625295) (paywall)
+- [Pages 1-16](./data_and_formulae_sheets/thermodynamic_tables_robert_balmer.pdf)
+
+# Terminology
+
+- State --- condition of a fluid in a particular region, defined by properties
+- Property --- a measurable variable characteristic of a fluid
+- System --- a region of a fluid contained by real and/or imaginary boundaries
+-
+
+# Lecture 1 (W03/40)
+
+## Graphical Representation of Properties
+
+### When is a Graph a Chart?
+
+Graphs plot the relationship between two component characteristics.
+
+A chart has the relationship between the two component characteristics but also plots lines of other
+variables on top of them, allowing them to represent more 'dimensions' of the system.
+
+
+### Temperature vs Specific Entropy
+
+![](./images/vimscrot-2022-10-17T11:11:56,842719958+01:00.png)
+
+The orange line is liquid, the flat blue bit is wet steam, the steep blue bit is superheated steam.
+
+### Specific Enthalpy vs Specific Entropy
+
+![](./images/vimscrot-2022-10-17T11:16:32,326087977+01:00.png)
+
+### Pressure vs Specific Enthalpy
+
+![](./images/vimscrot-2022-10-17T11:21:53,069413177+01:00.png)
+
+## Transport Properties
+
+Transport properties are of use for working out the flow behaviour.
+
+These are:
+
+- density
+
+    Density is affected by temperature and pressure. We know perfect gases have equation of
+    state but we need to use tables for steam an R134a as they are not perfect gases.
+
+- viscosity
+
+    Viscosity in all fluids varies with temperature.
+    On page 10 of the tables there is viscosity of steam and water liquid stated in dynamic form.
+
+    $$\nu = \frac\mu\rho$$
+
+    (kinematic viscosity = dynamic viscosity / density)
+
+- Prandtl number
+- thermal conductivity
+
+# Lecture 2 (W04/41)
+
+![](./images/vimscrot-2022-10-17T12:30:52,395521201+01:00.png)
+
+1. Throttle
+2. Evaporator
+3. Compressor
+4. Condenser
+
+

uni/mmme/2xxx/2053_mechanics_of_solids/yield_criteria.md

@@ -0,0 +1,8 @@
+---
+author: Akbar Rahman
+date: \today
+title: 
+tags: []
+uuid: c0e120ca-08a7-40d2-b72d-d93b7c9cb3b6
+---
+