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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 

Dynamics  See also the dynamics problems on the physNRICH pages  
Model Solutions  How do these modelling assumptions affect the solutions?  
Ramping it Up  Look at the calculus behind the simple act of a car going over a step.  
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  Overarch 1  This short question asks if you can work out the most precarious way to balance four tiles.  
Bridge Builder  In this short problem we investigate the tensions and compressions in a framework made from springs and ropes.  
More Bridge Building  Which parts of these framework bridges are in tension and which parts are in compression?  
Overarch 2  What is the furthest a tower can theoretically arch over?  
Beam Me Up  Look at the mathematics of the bending of beams.  
Euler's Buckling Formula  Find the critial load at which a beam will buckle.  
Digital circuits and logic  Procedure Solver  Can you think like a computer and work out what this flow diagram does?  
Not Another NAND!  Prove that you can make any type of logic gate using just NAND gates.  
Decisions, logistics and control  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  Building up Friction  A series of activities to build up intuition on the mathematics of friction  
Stonehenge  Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.  
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  

Explore the power of aeroplanes, spaceships and horses.  
Go Spaceship Go  Show that even this powerful spaceship will eventually run out of overtaking power.  
Turbo Turbines 
A look at power generation using wind turbines.


Fluid mechanics  See the Fluids Problems on the physNRICH pages  
Electrical Engineering  The Wheatstone Bridge  Explore the mathematics behind the famous Wheatstone Bridge circuit.  
A Circuit Problem  Find the voltages and currents in this interesting circuit configuration.  
Battery Modelling  Find out how to model a battery mathematically.  
Differential Electricity  As a capacitor discharges, its charge changes continuously. Find the differential equation governing this variation.  
Impedance Can Be Complex!  Put your complex numbers and calculus to the test in this impedance calculation.  
Articles  AC/DC Circuits  Find out how Ohm's law develops and find a fundamental link to complex numbers along the way.  
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. 
Bricks are 20cm long and 10cm high. How high could an arch be built without mortar on a flat horizontal surface, to overhang by 1 metre? How big an overhang is it possible to make like this?
Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.
Given the graph of a supply network and the maximum capacity for flow in each section find the maximum flow across the network.