## It was wonderful to welcome Saachi Sen, ex-ONL and Cambridge engineer, to speak about careers in Engineering to our Further Mathematics classes.

Patrycja (Year 12) writes: “Engineering has always fascinated me, and Saachi explained all the different types of engineering that we could specialise in if we were considering a degree in engineering. She showed us an example of the path we could take with education to go into engineering, by illustrating the choices that she made, the subjects that she studied and just how much freedom of choice she had at university. It was really empowering to see an ONL talk about her experience and success in the field of engineering. It motivated us to pursue a career in engineering as she made us aware of the drastically low statistics of females in STEM industries, for example, only 15% of engineers are female; this therefore encouraged us to follow in her footsteps.”

## First thoughts

Make sure you have checked out the work experience opportunities here! Have you considered learning to code?

## Things to play with## People to play withA great website on female role models in STEM - sheheroes.
The fantastic Women in Engineering Society have lots of great ideas of things to do. And WISE are possibly also wise. Engineering female students have their own societies, e.g. at Leeds and UCL. |
## Books to readRoma's books is coming out soon but in the meanwhile check out...
The Art of Insight in Science and Engineering......which amazingly you can download for free here!!!“One of the best science books of all time, for people who want ahas in life. Whether you are a student, a researcher, or a curious citizen, try these tools on questions around you, and you will see how so much of the world starts fitting together.”-- Tadashi Tokieda, Cambridge University |
## Interview PreparationCheck out this website of problems which allows you to chart your progress!
Recommended by you, the "I want to study engineering" website, with a collection of problems. First year lecture notes from the University of Oxford which can make useful reading - interviewers often invent questions from these! (to be uploaded). |

## “When you want to know how things really work, study them when they're coming apart.”

― William Gibson, *Zero History*

## In the news

Dr Hugh Hunt on waving arms around.

## Interview practice

1. A cubic block is submerged in water inside a tank. What is the normal reaction on the block by the tank if the depth of water is H and the height of the block is A? What is the pressure on the top surface of the block?

2. You have a boat floating in water. Draw a graph of minimum force required to lift the boat against the displacement from the equilibrium position.

3. You have as many 50µF capacitors as you like but they only withstand 100V. Make a capacitor of 100 µF which withstands 230V.

4. A magnet is glued to the ceiling with a N pole facing down. A second magnet, with the S pole up, is moved sufficiently close to the top magnet that the force of electromagnetic attraction is equal to the weight of the magnet. Will the second magnet be in a stable equilibrium?

5. A cyclist of mass m rides up the loop of radius r. The gravitational acceleration is g. What minimum initial speed is required for the cyclist to complete the loop?

6. A suitcase with a long handle is held on a smooth ground by a man’s hand such that it is at equilibrium. The suitcase is at an angle to the vertical. What is the direction of the force on the man’s hand?

7. A tank is filled with water to the height H. A small hole is made in the side of the tank at the height L from the bottom. Find the distance S from the tank at which the water jet from the hole hits the ground. What is the optimal value of L which maximises the distance S?

8. Why do bicycles have gears?

9. In projectile motion, prove that the angle for maximum range is 45˚.

10. The swings have one end attached to the ground with a spring. The second end has a mass attached to it. Prove that small displacements of the mass from the equilibrium result in simple harmonic motion.

11. Estimate the number of air molecules in a box. How does the pressure inside the box change when a certain number of new air molecules are added?

12. A circular wheel is moving up a step. What are the forces acting on the wheel?

13. A fridge is placed in the middle of the room. Sketch the temperature graph against time when the fridge door is opened and then closed after a certain time.

14. Explain how the spirit level works.

15. Would the Arctic ice melting raise the sea levels?

16. Two spheres of mass M each are at a distance 2A from each other. The third mass, m, is placed at a distance x from the mid-point between the first two masses at equal distances to them. Estimate the gravitational force on the mass m when (i) x>>A and (ii) x<

17. What are the forces acting on a floating block of ice as it melts?

18. Describe the experiments that prove the wave/particle nature of light.

19. What energy is required to launch a geostationary satellite?

20. A block of metal is thrown into water from the boat. What happens to the water level? What about a block of wood?

21. Draw the graph of displacement, velocity and acceleration for a rocket.

2. You have a boat floating in water. Draw a graph of minimum force required to lift the boat against the displacement from the equilibrium position.

3. You have as many 50µF capacitors as you like but they only withstand 100V. Make a capacitor of 100 µF which withstands 230V.

4. A magnet is glued to the ceiling with a N pole facing down. A second magnet, with the S pole up, is moved sufficiently close to the top magnet that the force of electromagnetic attraction is equal to the weight of the magnet. Will the second magnet be in a stable equilibrium?

5. A cyclist of mass m rides up the loop of radius r. The gravitational acceleration is g. What minimum initial speed is required for the cyclist to complete the loop?

6. A suitcase with a long handle is held on a smooth ground by a man’s hand such that it is at equilibrium. The suitcase is at an angle to the vertical. What is the direction of the force on the man’s hand?

7. A tank is filled with water to the height H. A small hole is made in the side of the tank at the height L from the bottom. Find the distance S from the tank at which the water jet from the hole hits the ground. What is the optimal value of L which maximises the distance S?

8. Why do bicycles have gears?

9. In projectile motion, prove that the angle for maximum range is 45˚.

10. The swings have one end attached to the ground with a spring. The second end has a mass attached to it. Prove that small displacements of the mass from the equilibrium result in simple harmonic motion.

11. Estimate the number of air molecules in a box. How does the pressure inside the box change when a certain number of new air molecules are added?

12. A circular wheel is moving up a step. What are the forces acting on the wheel?

13. A fridge is placed in the middle of the room. Sketch the temperature graph against time when the fridge door is opened and then closed after a certain time.

14. Explain how the spirit level works.

15. Would the Arctic ice melting raise the sea levels?

16. Two spheres of mass M each are at a distance 2A from each other. The third mass, m, is placed at a distance x from the mid-point between the first two masses at equal distances to them. Estimate the gravitational force on the mass m when (i) x>>A and (ii) x<

17. What are the forces acting on a floating block of ice as it melts?

18. Describe the experiments that prove the wave/particle nature of light.

19. What energy is required to launch a geostationary satellite?

20. A block of metal is thrown into water from the boat. What happens to the water level? What about a block of wood?

21. Draw the graph of displacement, velocity and acceleration for a rocket.