Mechanics-M1 Specification

Unit M1: Mechanics 1
Optional unit for IAS Mathematics and Further Mathematics

Optional unit for IAL Mathematics and Further Mathematics
Externally assessed
M1.1 Unit description

Mathematical models in mechanics; vectors in mechanics; kinematics of a
particle moving in a straight line; dynamics of a particle moving in a straight
line or plane; statics of a particle; moments.
M1.2 Assessment information

1. Prerequisites A knowledge of P1 and P2 and associated formulae and of vectors in two
dimensions.
2. Examination • First assessment: June 2019.
• The assessment is 1 hour and 30 minutes.
• The assessment is out of 75 marks.
• Students must answer all questions.
• Calculators may be used in the examination. Please see
Appendix 6: Use of calculators.
• The booklet Mathematical Formulae and Statistical Tables will be
provided for use in the assessments.
3. Notation and formulae Students will be expected to understand the symbols outlined in
Appendix 7: Notation.
Formulae that students are expected to know are given below and will not
appear in the booklet Mathematical Formulae and Statistical Tables, which
will be provided for use with the paper. Questions will be set in SI units and
other units in common usage.
Momentum = mv
Impulse = mv − mu
For constant acceleration:
v = u + at
s = ut + 12 at 2
s = vt – 12 at 2
v2 = u2 + 2as
s = 12 (u + v)t
44 Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics

and Pure Mathematics – Specification – Issue 3 – April 2019 © Pearson Education Limited 2019
M1.3 Unit content
What students need to learn: Guidance
1. Mathematical models in mechanics
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. Vectors in mechanics
2.1 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.
2.2 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. Kinematics of a particle moving in a straight line
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. Dynamics of a particle moving in a straight line or plane
4.1 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.
4.2 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.
4.3 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.
4.4 Coefficient of friction. An understanding of F = μR when a particle is moving.
Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics 45

What students need to learn: Guidance
5. Statics of a particle
5.1 Forces treated as vectors.
Resolution of forces.
5.2 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.
5.3 Coefficient of friction. An understanding of F  µR in a situation of equilibrium.
6. Moments
6.1 Moment of a force. Simple problems involving coplanar parallel forces acting
on a body and conditions for equilibrium in such situations.
46 Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics


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Unit M1: Mechanics 1

Optional unit for IAS Mathematics and Further Mathematics

M1.1 Unit description

M1.2 Assessment information

44 Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics

Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics 45

46 Pearson Edexcel International Advanced Subsidiary/Advanced Level in Mathematics, Further Mathematics

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