Before you start

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Before you start

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Engineering Maths withApplications 1

• This module introduces techniques for solving
  practical problems.
• This is reflected in the assessments. A solution
  is sought to a problem in a real world
  scenario.
• The following is a typical example.

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Bungee Jumpers Do It Without Getting Wet!
The Deep Gorge bungee jump takes place from a
bridge 60m above the river beneath, using a cord
of length 10m.
One of the critical parameters is the bungee cord
constant required in order that a jumper of given
weight does not get wet. Find its value for your
personal body mass.
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Solution
The motion consists of two parts
Free fall
Constrained by the bungee
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Solution
These are modelled by differential equations
representing ForceMassAcceleration
Bungee constant ,k
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Solution
The equations are solved and the motion plotted
using mathematical software MAPLE
Freefall
Oscillation
k was too small you just got soaked!
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Solution
The equations are solved and the motion plotted
using mathematical software MAPLE
Freefall
Oscillation
k was too big your ankles hurt real bad!
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Solution
The equations are solved and the motion plotted
using mathematical software MAPLE
Freefall
Oscillation
k about right. You stay dry just!
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The End

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