# M1 Revision Exam Notes

The Big 50 Revision Guidelines for M1

If you can understand all of these you’ll do very well… 1. Understand what is meant by a Model in Mechanics, and why all real‐life systems have to be modelled in order to be analysed theoretically 2. Know how everyday objects are modelled as Particle, Lamina, Rigid Body, Rod (Light, Uniform, Non‐ uniform), String (Light, Inextensible), Pulley (Light, Smooth), Surface (Rough, Smooth), Bead, Wire and Peg and the corresponding assumptions that go with each of these 3. Know the difference between a Vector and a Scalar quantity, and be able to give an example of each 4. Understand and use the idea of a vector to represent displacements, velocities, accelerations and forces in a plane 5. Know the difference between speed (a scalar) and velocity (a vector) 6. Know the difference between “mass” and “weight” 7. Know the difference between “gravitational acceleration” and “gravitational force” 8. Be able to explain what a force is without using the word “force” 9. Be able to explain what time is without using the word “time” 10. Given a velocity or acceleration in terms of unit i and j vectors, understand how to find its magnitude and direction, and vice versa 11. Know how to work with i and j components separately in calculations 12. Know how to write down straightaway the position vector at time t of a particle, given its initial position vector and the velocity with which it is moving 13. Understand the Triangle Law and Parallelogram Law for combining vectors 14. Understand how to apply the Sine and Cosine Rules for calculating angles between vectors

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The Big 50 Revision Guidelines ‐ M1 OPHS

15. Know how to resolve any vector (force, velocity, acceleration) into two perpendicular directions using sine and cosine respectively 16. Be able to quote from memory at least five different formulae describing motion under constant ...

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