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Unit M2: Mechanics 2

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  1. M2.1 - Kinematics of a particle moving in a straight line or plane

    1. Motion in a vertical plane with constant acceleration, e.g. under gravity.

    2. Simple cases of motion of a projectile.

    3. Velocity and acceleration when the The setting up and solution of equations of the form displacement is a function of time. dx dv = f(t) or = g(t) will be consistent with the level of dt dt calculus in P1, P2 P3 and P4.

    4. Differentiate and integrate vector-valued position functions with respect to time to obtain velocity and acceleration.

  2. M2.2 - Centres of mass

    1. Centre of mass of a discrete mass distribution in one and two dimensions.

    2. Centre of mass of uniform plane The use of an axis of symmetry will be acceptable where figures, and simple cases of appropriate.; Use of integration is not required.; Figures may composite plane figures. include the shapes referred to in the formulae book.; Results given in the formulae book may be quoted without proof.

    3. Simple cases of equilibrium of a The lamina may plane lamina. (i) be suspended from a fixed point; (ii) be free to rotate about a fixed horizontal axis; (iii) be put on an inclined plane.

  3. M2.3 - Work and energy

    1. Kinetic and potential energy, work Problems involving motion under a constant resistance and power.; The work-energy and/or up and down an inclined plane may be set. principle.; The principle of conservation of mechanical energy.

  4. M2.4 - Collisions

    1. M2.4.1Momentum as a vector

      Momentum as a vector.; The impulse-momentum principle in vector form.; Conservation of linear momentum.

    2. M2.4.2Direct impact of elastic particles

      Use Newton’s law of restitution for direct impact of elastic particles, with 0 ≤ e ≤ 1, and determine loss of mechanical energy.

    3. M2.4.3Successive impacts of up to three

      Successive impacts of up to three Collision with a plane surface will not involve oblique particles or two particles and a impact. smooth plane surface.

  5. M2.5 - Statics of rigid bodies

    1. Moment of a force.

    2. Equilibrium of rigid bodies.; Problems involving parallel and non-parallel coplanar forces.; Problems may include rods or ladders resting against smooth or rough vertical walls and on smooth or rough ground.