Download presentation

Presentation is loading. Please wait.

Published byAvery Henshaw Modified about 1 year ago

1

2
PH15010 Laboratory Techniques - An Introduction to MATHCAD

3
Introduction Review of Last WeekReview of Last Week Modelling Projectile MotionModelling Projectile Motion

4
Review of Last Week Assessed ExerciseAssessed Exercise –Sheet Layout –Spelling –Units –Inverse Trig functions –Defining Your Own Functions

5
Sheet Layout Change sheet to A4 formatChange sheet to A4 format – –File|Page Setup…|Paper Size|A4 Put your initials/ in page headerPut your initials/ in page header – –Format|Header/Footers… Use Page BreaksUse Page Breaks – –Insert|Page Break

6
More Layout & Spelling Watch the right hand marginWatch the right hand margin Can force print in single columnCan force print in single column – –File|Page Setup…|Print Single Page Width

7
Aligning Regions Align RegionsAlign Regions –Select with mouse –Format|Align Regions|… –Or select button from toolbar

8
Aligning Regions – Before and After

9
Separating Regions Overlapping RegionsOverlapping Regions –Looks bad –Makes debugging difficult Format|Separate Regions

10
Spelling Check Check spelling in worksheetCheck spelling in worksheet – –Edit|Check Spelling…

11
Units Don’t do your own conversions on answersDon’t do your own conversions on answers Use mathCADs facilitiesUse mathCADs facilities

12
Unit conversions of answers

13
Inverse Trig Functions Sometimes written as sin -1 (x)Sometimes written as sin -1 (x) Use asin(x), acos(x), atan(x) etcUse asin(x), acos(x), atan(x) etc Pronounced arcsin, arccos, arctan…Pronounced arcsin, arccos, arctan…

14
User Defined Functions in MathCAD Define OnceDefine Once Use many timesUse many times

15
User Defined Functions in MathCAD #2 Bad Example:Bad Example: Not using functionNot using function No point in using functionNo point in using function

16
User Defined Functions in MathCAD #3 Good Example:Good Example: Function Defined ONCEFunction Defined ONCE Used several timesUsed several times

17
Example Worksheet - Projectile Motion Projectile MotionProjectile Motion Cannon BallCannon Ball Neglect Air ResistanceNeglect Air Resistance Use standard equations of motionUse standard equations of motion Supplied parametersSupplied parameters –vMuzzle, , g Copy worksheet from: andouts/cannonball.mcdCopy worksheet from: andouts/cannonball.mcd andouts/cannonball.mcd andouts/cannonball.mcd

18
Projectile Motion #2

19
Projectile Motion #3 Use simple trig to get x- and y- components of velocityUse simple trig to get x- and y- components of velocity

20
Projectile Motion #4 Function to model x-axis motionFunction to model x-axis motion –pX(t) position of X w.r.t. timeposition of X w.r.t. time

21
Projectile Motion #5 Function to model y-axis motionFunction to model y-axis motion –pY(t) –Uses s=ut+1/2at 2 –Watch sign of acceleration

22
Projectile Motion #6 Graph of pX(t) & pY(t) vs t

23
Projectile Motion #7 Want to:Want to: –Determine time of impact –Plot parabola of pY vs pX

24
Projectile Motion #8 Determine time of impactDetermine time of impact –Zoom in on graph & estimate –Use Solve Block

25
Projectile Motion #9 The solve block MathCAD can solve systems of equationsMathCAD can solve systems of equations StructureStructure – – –given – – –Find(v)=

26
The Solve Block Guess Value ‘Given’ followed by system of equations Bold = sign Find(t) function

27
Range Variables Like for…next loop in basicLike for…next loop in basic Variable takes on a range of valuesVariable takes on a range of values Can then plot pY(t) vs pX(t)Can then plot pY(t) vs pX(t)

28
Projectile Motion pY vs pX

29

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google