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2011-02-01T00:00:01
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Welcome to <span style="font-weight: bold;">engNRICH</span>: the engineering section of <a href="http://nrich.maths.org/6298&part=">stemNRICH</a>. This contains mathematical activities for students aged 14 - 19 designed to complement and enhance the study of engineering.<br></br>
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<th scope="col" width="100">Area of maths</th>
<th scope="col" width="25"><a href="http://nrich.maths.org/6103&part=">Style</a></th>
<th scope="col" width="150">Question</th>
<th scope="col">Description</th>
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<td rowspan="6" style="padding:10px;">Dynamics</td>
<td colspan="3" style="padding:10px;"><span style="font-style: italic;">See also the dynamics problems on the</span> <a href="http://nrich.maths.org/6465&part=">physNRICH</a> <span style="font-style: italic;">pages</span></td>
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<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6528&part=">Model Solutions</a></td>
<td>How do these modelling assumptions affect the solutions?</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5837&part=">Dam Busters 1</a></td>
<td>At what positions and speeds can the bomb be dropped to destroy the dam?</td>
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<td><mdo:image alt="" height="30" src="lips30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6648&part=">Ramping it Up</a></td>
<td>Look at the calculus behind the simple act of a car going over a step.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5838&part=">Dam Busters 2</a></td>
<td>Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?</td>
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<td><mdo:image alt="" height="30" src="investigate30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5877&part=">Making More Tracks</a></td>
<td>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?</td>
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<td rowspan="6" style="padding:10px;">Structural engineering</td>
<td><mdo:image alt="" height="30" src="stopwatch30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5848&part=">Overarch 1</a></td>
<td>This short question asks if you can work out the most precarious way to balance four tiles.</td>
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<td><mdo:image alt="" height="30" src="stopwatch30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5839&part=">Bridge Builder</a></td>
<td>In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.</td>
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<td><mdo:image alt="" height="30" src="investigate30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5840&part=">More Bridge Building</a></td>
<td>Which parts of these framework bridges are in tension and which parts are in compression?</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=299&part=">Overarch 2</a></td>
<td>What is the furthest a tower can theoretically arch over?</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6644&part=">Beam Me Up</a></td>
<td>Look at the mathematics of the bending of beams.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6655&part=">Euler's Buckling Formula</a></td>
<td>Find the critial load at which a beam will buckle.</td>
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<td rowspan="4" style="padding:10px;">Digital circuits and logic</td>
<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5928&part=">Procedure Solver</a></td>
<td>Can you think like a computer and work out what this flow diagram does?</td>
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<td><mdo:image alt="" height="30" src="interactive30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5931&part=">Adding Machine</a></td>
<td>Can you set the logic gates so that this machine can decide how many bulbs have been switched on?</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5967&part=">Not Another NAND!</a></td>
<td>Prove that you can make any type of logic gate using just NAND gates.</td>
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<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=5948&part=">Circular Circuitry</a></td>
<td>What will happen when you switch on these circular circuits?</td>
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<td rowspan="2" style="padding:10px;">Decisions, logistics and control</td>
<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=2369&part=">Maximum Flow</a></td>
<td>Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.</td>
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<td><mdo:image alt="" height="30" src="interactive30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6086&part=">Pattern Recognition</a></td>
<td>What is a random pattern?</td>
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<td rowspan="3" style="padding:10px;">Mechanical engineering</td>
<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6422&part=">Building up Friction</a></td>
<td>A series of activities to build up intuition on the mathematics of friction</td>
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<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=332&part=">Stonehenge</a></td>
<td>Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.</td>
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<td><mdo:image alt="" height="30" src="lips30x30.JPG" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/public/viewer.php?obj_id=6642&part=">Stonehenge Is Going Nowhere</a></td>
<td>See why extensions of the ideas of the log rolling in Stonehenge would lead to a lack of progress in activity!</td>
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<td rowspan="4" style="padding:10px;">Power, work and energy in engineering</td>
<td colspan="3" style="font-style: italic;padding:10px;">See also the Power, Work and Energy problems on the <a href="http://nrich.maths.org/6465&part=" style="font-style: normal;">physNRICH</a> pages</td>
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<td><mdo:image alt="" height="30" src="investigate30x30.jpg" width="30"></mdo:image></td>
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<div><a href="http://nrich.maths.org/public/viewer.php?obj_id=6370&part=">Powerfully Fast</a></div>
<div style="font-style: italic;"> </div>
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<td>Explore the power of aeroplanes, spaceships and horses.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td style="font-style: normal;padding:10px;"><a href="http://nrich.maths.org/public/viewer.php?obj_id=6416&part=">Go Spaceship Go</a></td>
<td>Show that even this powerful spaceship will eventually run out of overtaking power.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td style="font-style: normal;padding:10px;"><a href="http://nrich.maths.org/public/viewer.php?obj_id=6628&part=">Turbo Turbines</a></td>
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<div>A look at power generation using wind turbines.</div>
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<td rowspan="1" style="padding:10px;">Fluid mechanics</td>
<td colspan="3" style="padding:10px;"><span style="font-style: italic;">See the Fluids Problems on the</span> <a href="http://nrich.maths.org/6465&part=">physNRICH</a> <span style="font-style: italic;">pages</span></td>
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<td rowspan="5" style="padding:10px;">Electrical Engineering</td>
<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6667&part=">The Wheatstone Bridge</a></td>
<td>Explore the mathematics behind the famous Wheatstone Bridge circuit.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/8690">A Circuit Problem</a></td>
<td>Find the voltages and currents in this interesting circuit configuration.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6673&part=">Battery Modelling</a></td>
<td>Find out how to model a battery mathematically.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6669&part=">Differential Electricity</a></td>
<td>As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6677&part=">Impedance Can Be Complex!</a></td>
<td>Put your complex numbers and calculus to the test in this impedance calculation.</td>
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<td rowspan="2" style="padding:10px;">Articles</td>
<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6661&part=">AC/DC Circuits</a></td>
<td>Find out how Ohm's law develops and find a fundamental link to complex numbers along the way.</td>
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<td><mdo:image alt="" height="30" src="individual30x30.jpg" width="30"></mdo:image></td>
<td><a href="http://nrich.maths.org/6657&part=">Who Is an Engineer?</a></td>
<td>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.</td>
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