M1 Revision Exam Notes

The Big 50 Revision Guidelines ? M1  OPHS 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 1 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  acceleration, using the five variables in the mnemonic “uvats”  17. Know how to construct and interpret time graphs for Displacement, Velocity/Speed and  Acceleration, with particular understanding of what can be determined from the gradient of, and/or  the area under, the graph thus drawn  18.
Be able to quote from memory Newton’s three Laws of Motion  19. Know how to calculate momentum given the mass and velocity of a particle  20. Be able to explain the connection between Impulse, Force, Time and Momentum  21. Know the connection between the gradient of a slope and the tangent of the angle it makes with  the horizontal  22. Know how to calculate any two of sin ? , cos ? and tan ? given the third, without finding the value of ? first 23. Know how to solve quadratic equations using a variety of methods besides “the formula”  24.
Know how to solve simultaneous equations using a variety of methods  25. Be able to explain the connection between Friction Force F, Coefficient of Friction µ and Reaction  Force R, in particular being able to explain the circumstances in which friction increases to a  maximum value and then stays at that value  26. Be able to describe a scenario in which friction is acting up a slope, and then another scenario in  which friction is acting down a slope   27. Understand how to read a given question in order to determine the nature and direction of friction

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