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# engNRICH

Welcome to engNRICH: the engineering section of stemNRICH. This contains mathematical activities for students aged 16 - 19 designed to complement and enhance the study of engineering.

Area of maths Style Question Description
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Model Solutions How do these modelling assumptions affect the solutions?

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Ramping it Up Look at the calculus behind the simple act of a car going over a step.

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Making More Tracks Given the equation for the path followed by the back wheel of a bike, can you solve to find the equation followed by the front wheel?
Structural engineering
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Overarch 1 This short question asks if you can work out the most precarious way to balance four tiles.
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Bridge Builder In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.
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More Bridge Building Which parts of these framework bridges are in tension and which parts are in compression?
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Overarch 2 What is the furthest a tower can theoretically arch over?
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Beam Me Up Look at the mathematics of the bending of beams.
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Euler's Buckling Formula Find the critial load at which a beam will buckle.
Digital circuits and logic
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Procedure Solver Can you think like a computer and work out what this flow diagram does?

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Not Another NAND! Prove that you can make any type of logic gate using just NAND gates.

Decisions, logistics and control
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Maximum Flow Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.

Mechanical engineering
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Building up Friction A series of activities to build up intuition on the mathematics of friction
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Stonehenge Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.
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Stonehenge Is Going Nowhere See why extensions of the ideas of the log rolling in Stonehenge would lead to a lack of progress in activity!
Power, work and energy in engineering See also the Power, Work and Energy problems on the physNRICH pages
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Explore the power of aeroplanes, spaceships and horses.
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Go Spaceship Go Show that even this powerful spaceship will eventually run out of overtaking power.
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Turbo Turbines
A look at power generation using wind turbines.
Fluid mechanics See the Fluids Problems on the physNRICH pages
Electrical Engineering
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The Wheatstone Bridge Explore the mathematics behind the famous Wheatstone Bridge circuit.
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A Circuit Problem Find the voltages and currents in this interesting circuit configuration.
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Battery Modelling Find out how to model a battery mathematically.
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Differential Electricity As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.
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Impedance Can Be Complex! Put your complex numbers and calculus to the test in this impedance calculation.
Articles
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AC/DC Circuits Find out how Ohm's law develops and find a fundamental link to complex numbers along the way.
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Who Is an Engineer? This short article gives a quick perspective of engineering after one year of a university engineering course and will be useful to help to understand what exactly goes on during an engineering degree course.