IAL MECHANICS 2

M2: Mechanics 2 - Study Notes

M2: Mechanics 2

Study notes for IAS Further Mathematics and IAL Mathematics & Further Mathematics

Kinematics

Motion in a straight line with constant acceleration
Motion under gravity
Projectile motion
Velocity and acceleration vectors
Calculus in kinematics

Centres of Mass

Centre of mass of a system of particles
Centre of mass of uniform rigid bodies
Centre of mass of composite bodies
Equilibrium of rigid bodies
Toppling and sliding

Work & Energy

Work done by a force
Kinetic and potential energy
Conservation of mechanical energy
Power
Work-energy principle

Kinetic Energy = ½mv²

Potential Energy = mgh

Collisions

Momentum and impulse
Conservation of linear momentum
Newton's law of restitution
Collisions with plane surfaces
Successive collisions

Statics of Rigid Bodies

Moment of a force
Equilibrium of rigid bodies
Friction on rigid bodies
Limiting equilibrium
Ladders and rods against walls

Exam Information

Duration: 1 hour 30 minutes
Total marks: 75
Prerequisites: P1, P2, P3, P4, M1
Calculators permitted
Formula booklet provided

Key Information for M2

Prerequisites

Knowledge of P1, P2, P3, P4 and M1 is assumed and may be tested in the examination.

Assessment

First assessment: June 2020. The exam is 1 hour 30 minutes long with 75 marks. Students must answer all questions.

Resources

Calculators may be used. The Mathematical Formulae and Statistical Tables booklet will be provided.

Formulae to Memorize

Kinetic Energy = ½mv²
Potential Energy = mgh