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CREATE THE DIFFERENCE Engineering Maths with Applications 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.

CREATE THE DIFFERENCE 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.

CREATE THE DIFFERENCE Solution The motion consists of two parts: Free fall Constrained by the bungee

CREATE THE DIFFERENCE Solution These are modelled by differential equations representing “Force=Mass×Acceleration”: Bungee constant,k

CREATE THE DIFFERENCE Solution The equations are solved and the motion plotted using mathematical software MAPLE: Freefall k was too small – you just got soaked! Oscillation

CREATE THE DIFFERENCE Solution The equations are solved and the motion plotted using mathematical software MAPLE: k was too big – your ankles hurt real bad! Freefall Oscillation

CREATE THE DIFFERENCE Solution The equations are solved and the motion plotted using mathematical software MAPLE: k about right. You stay dry – just! Freefall Oscillation

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