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Unit M1: Mechanics 1

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  1. M1.1 - Mathematical models in mechanics

    1. M1.1.1

      The basic ideas of mathematical Students should be familiar with the terms: particle, lamina, modelling as applied in Mechanics. rigid body, rod (light, uniform, non-uniform), inextensible string, smooth and rough surface, light smooth pulley, bead, wire, peg.; Students should be familiar with the assumptions made in using these models.

  2. M1.2 - Vectors in mechanics

    1. M1.2.1Magnitude and direction

      Magnitude and direction of a Students may be required to resolve a vector into two vector.; Resultant of vectors may components or use a vector diagram.; Questions may be set also be required. involving the unit vectors i and j.

    2. M1.2.2Application of vectors

      Application of vectors to Use of displacements, velocities, change of displacement accelerations and forces in a plane. velocity = in the case of constant time change of velocity velocity, and of acceleration = in the time case of constant acceleration, will be required.

  3. M1.3 - Kinematics of a particle moving in a straight line

    1. M1.3.1

      Motion in a straight line with Graphical solutions may be required, including constant acceleration. displacement-time, velocity-time, speed-time and acceleration-time graphs.; Knowledge and use of formulae for constant acceleration will be required.

  4. M1.4 - Dynamics of a particle moving in a straight line or plane

    1. M1.4.1concept of a force

      The concept of a force.; Newton’s Simple problems involving constant acceleration in scalar laws of motion. form or as a vector of the form ai + bj.

    2. M1.4.2Simple applications

      Simple applications including the Problems may include motion of two connected particles. (i) the motion of two connected particles moving in a straight line or under gravity when the forces on each particle are constant.; problems involving smooth fixed pulleys and/or pegs may be set (ii) motion under a force which changes from one fixed value to another, e.g. a particle hitting the ground (iii) motion directly up or down a smooth or rough inclined plane.

    3. M1.4.3Momentum and impulse

      Momentum and impulse.; The Knowledge of Newton’s law of restitution is not required. impulse-momentum principle.; The Problems will be confined to those of a one-dimensional principle of conservation of nature. momentum applied to two particles colliding directly.

    4. M1.4.4Coefficient of friction

      Coefficient of friction.; An understanding of F = μR when a particle is moving.

  5. M1.5 - Statics of a particle

    1. M1.5.1Forces treated as vectors

      Forces treated as vectors.; Resolution of forces.

    2. M1.5.2Equilibrium of a particle under

      Equilibrium of a particle under Only simple cases of the application of the conditions for coplanar forces.; Weight, normal equilibrium to uncomplicated systems will be required. reaction, tension and thrust, friction.

    3. M1.5.3Coefficient of friction

      Use the coefficient of friction and the equilibrium condition F ≤ μR.

  6. M1.6 - Moments

    1. M1.6.1

      Moment of a force.; Simple problems involving coplanar parallel forces acting on a body and conditions for equilibrium in such situations.