# M1 Maths Mechanics - Revision Notes/Posters

Printable PDF. Covers the entire Maths & Mechanics course from the beginning, ideal for notes (for revision) and as a series of posters for blu-tacking to the wall a few weeks before your exams.

From the EDEXCEL M1 specification.

Thank you, and I hope it's of use to you.

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• Created by: Lawrence
• Created on: 02-04-10 22:17

## Pages in this set

### Page 1

Common Equations of Motion (M1.3)

Equations without
DISPLACEMENT v=u+at
Equations without
FINAL VELOCITY s=ut+½at 2

Equations without
INITIAL VELOCITY s=vt-½at 2

Equations without
TIME
2 2
v = u + 2as
Equations without
ACCELERATION s = ½ (u + v) t

### Page 2

Momentum and Impulse (M1.4)

Momentum
Velocity and Mass =mv
Impulse
Combining Momentum =mv­mu
For collisions.

### Page 3

Vectors in Mechanics ­ M1.2

Magnitude and direction of a vector.
Vectors can be considered as triangles.

You use SIN, COS and TAN to RESOLVE vectors
to multiple dimensions, just as you'd use them for
unknown lengths of sides.

You can use the rules of Pythagoras to determine
the magnitude…

### Page 5

Kinematics of a Particle ­ M1.3
Motion in a straight line with constant acceleration.

graph is the VELOCITY.

The gradient of a velocity-time graph
is the ACCELERATION.

The area under a velocity-time graph
is the DISPLACEMENT.

Example graph from Question:

Knowledge and use of formulae…

### Page 6

Newton's Laws (M1.4)

Think 'frame of reference'.
Newton's First Law.

An object will not change its Newton's Second Law.
velocity until an unbalanced
force acts upon it.
f = ma
Newton's Third Law.

Every action has an equal and
opposite 're-action'.
Force (in Newtons) equals
mass times acceleration.

Image by…

### Page 7

Single-dimension Dynamics of a Particle (M1.4)

You should know:
· Newton's Three Laws.

· 1 Newton (mass times acceleration) is 1 kg m s -2.

· Impulse, Momentum and applications (e.g. collisions).

· Co-efficient of Friction:

On a rough surface, with Co-efficient of Friction
0.7, the Friction can be determined…

### Page 8

Statics of a Particle (M1.5)
Sometimes it can be quicker to
Friction

FR
RESOLVE forces with a different
frame of reference.

- Friction acts opposite the For instance, perpendicular to a
plane, so less forces have to be
resultant force. resolved.

In practice, in
- Friction is always less than…

### Page 9

Moments (M1.5)

In the first diagram, the moment of force 'F' about
10 N point 'A' is F * d.
Fixed about point A The second diagram represents a couple. Across
and in equlibrium. any direction, it resolves to nothing, so the object
would rotate but not move.
A
sm…

### Page 10

Mechanical Models and Terms ­ M1.1
A single object without specific Inextensible Cannot change in length.
Particle
structure or internal motion.
Smooth/Rough No friction/subject to friction.
Lamina Thin plate or layer.
Rigid Body Size and shape are fixed definitely.
Rod…