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# PH15010 - PowerPoint PPT Presentation

PH15010. Laboratory Techniques - An Introduction to MATHCAD. Introduction. Review of Last Week Modelling Projectile Motion. Review of Last Week. Assessed Exercise Sheet Layout Spelling Units Inverse Trig functions Defining Your Own Functions. Sheet Layout. Change sheet to A4 format

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### PH15010

Laboratory Techniques -

An Introduction to MATHCAD

• Review of Last Week

• Modelling Projectile Motion

• Assessed Exercise

• Sheet Layout

• Spelling

• Units

• Inverse Trig functions

• Defining Your Own Functions

• Change sheet to A4 format

• File|Page Setup…|Paper Size|A4

• Put your initials/email in page header

• Use Page Breaks

• Insert|Page Break

• Watch the right hand margin

• Can force print in single column

• File|Page Setup…|Print Single Page Width

• Align Regions

• Select with mouse

• Format|Align Regions|…

• Or select button from toolbar

• Overlapping Regions

• Makes debugging difficult

• Format|Separate Regions

• Check spelling in worksheet

• Edit|Check Spelling…

• Don’t do your own conversions on answers

• Use mathCADs facilities

• Sometimes written as sin-1(x)

• Use asin(x), acos(x), atan(x) etc

• Pronounced arcsin, arccos, arctan…

• Define Once

• Use many times

• Not using function

• No point in using function

• Good Example:

• Function Defined ONCE

• Used several times

• Projectile Motion

• Cannon Ball

• Neglect Air Resistance

• Use standard equations of motion

• Supplied parameters

• vMuzzle, a, g

• Copy worksheet from:http://users.aber.ac.uk/dpl/ph15010/handouts/cannonball.mcd

• Use simple trig to get x- and y- components of velocity

• Function to model x-axis motion

• pX(t)

• position of X w.r.t. time

• Function to model y-axis motion

• pY(t)

• Uses s=ut+1/2at2

• Watch sign of acceleration

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

• Want to:

• Determine time of impact

• Plot parabola of pY vs pX

• Determine time of impact

• Zoom in on graph & estimate

• Use Solve Block

Projectile Motion #9The solve block

• MathCAD can solve systems of equations

• Structure

• <Guess Values>

• given

• <System of equations>

• Find(v)=

Guess Value

‘Given’ followed by system of equations

Bold = sign

Find(t) function

• Like for…next loop in basic

• Variable takes on a range of values

• Can then plot pY(t) vs pX(t)