Scheme of Work - Mechanics

 M2 Scheme of Work
         
Chapter. Description Features Duration Notes
Kinematics of a Particle Projectiles: Horizontal projection, projectiles at an angle, projectiles using vector notation. Velocity and acceleration when displacement is function of time. Differentiating and integrating vectors. 5 lessons Mini test & full test available! "projectiles…an algebraiic approach" explanation worksheet.
Centres of Mass Centre of mass of discrete mass distribution, uniform plane lamina. Equilibrium of plane lamina 4 lessons  
Work, Energy and Power Work done against gravity, against friction. Kinetic energy, potential energy, conservation. Moving vehicles.   3 lessons Test available for chapt 2/3 together. Selection of additional questions available as individual worksheets
Collisions Collisions in the real world. Colision of particles. Newton's law of restitution for direct impact. Impact of a particle with a fixed surface. Successive impacts. 6 lessons Test available as is a collisions assignment.                      Q8 Ex.4B to be avoided !!!!!!!!!!!
Statics of Rigid Bodies Moment of a Force. The equilibrium of rigid bodies. Limiting equlibrium involving ladder problems.   2 lessons A fairly straight forward chapter to finish with. Students don't tend to have any problems. No test used.
Approximately 20 - 25 teaching lessons required. Aim to be finished by early December. There are plenty of review questions that provide sufficient depth and relevance.

 

M3 Scheme of Work
         
Chpt. Description Features Duration Notes
Further Kinematics Acceleration as a function of time. Acceleration as a function of displacement 3 lessons Although students weren't tested, there are Delphis tests 2a & 2b which are very appropriate. Students may need some revision of the fundamentals of differentiation and integration.
Elastic Springs and Strings Hooke's Law. Energy stored in an elastic string or spring. Problems involving kinetic energy, gravitational potential energy and elastic potential energy 5 lessons Test available.       N.B. Ex 2D Q.3 can be legitimately solved using either Hooke's law or the work-energy principle; unfortunately both methods give two different answers. I'm still working on that one!!!
Further Dynamics Newton's laws for a particle moving in a straight line with variable force. Newton's law of gravitation. Simple Harmonic Motion. Horizontal and vertical oscillations of particle attached to the end of an elastic string or spring. 7 lessons Test available. Brief historical intro into the rivalry between Newton and Leibniz.The two different notations used. A potentially difficult chapter made easy by students' Knowledge of SHM from physics.     
Circular Motion Angular speed. Acceleration in circular motion.                   Uniform motion of a particle moving in a horizontal circle. (conical pendulum etc.). The motion of a particle in a vertical circle 8 lessons Test available.
Statics of Rigid Bodies Centre of mass of a plane uniform lamina/ uniform solid lamina (centroids of solids and surfaces of revolution). Simple cases of equilibrium of bodies on horizontal and inclined planes. Slipping and toppling 7 lessons Important to show derivation of formulae from first principles. Students must be encouraged to use this method instead of simply memorising formulae or short cuts
  Approximately 30 - 35 lessons required including testing. Should be started before the Christmas vacation, preferably sometime in early December.