
Edexcel AS and A Level Modular Mathematics Mechanics 1 M1
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Content
- Cover
- Contents
- About this book
- Chapter 1: Mathematical models in mechanics
- 1.1: Different modelling assumptions, and how they affect calculations
- Chapter 2: Kinematics of a particle moving in a straight line
- 2.1: Formulae for a particle moving in a straight line with constant acceleration
- 2.2: Further formulae for a particle moving in a straight line with constant acceleration
- 2.3: Using the formulae for constant acceleration to model an object moving vertically in a straight line under gravity
- 2.4: Representing the motion of an object on a speed-time or distance-time graph
- Summary of key points
- Chapter 3: Dynamics of a particle moving in a straight line
- 3.1: Using the formula F=ma to solve problems involving force and acceleration
- 3.2: Solving problems involving forces by drawing diagrams and resolving
- 3.3: Resolving forces that act at an angle to find the component that acts in a certain direction
- 3.4: Calculating the magnitude of the frictional force using the coefficient of friction
- 3.5: Solving problems about particles on inclined planes by resolving forces parallel and perpendicular to the plane
- 3.6: Solving problems involving connected particles by considering the particles separately
- 3.7: Calculating the momentum of a particle and the impulse of a force
- 3.8: Solving problems involving collisions using the principle of Conservation of Momentum
- Summary of key points
- Review Exercise 1
- Chapter 4: Statics of a particle
- 4.1: Solving problems about particles in equilibrium by resolving forces
- 4.2: Knowing when to include additional forces, such as weight, tension, thrust, normal reaction and friction
- 4.3: Solving statics problems involving friction using the relationship F=µR
- Summary of key points
- Chapter 5: Moments
- 5.1: The moment of a force acting on a body
- 5.2: The sum of the moments of a set of forces acting on a body
- 5.3: Solving problems about bodies in equilibrium by equating clockwise and anticlockwise moments
- 5.4: Solving problems about non-uniform bodies by finding or using the centre of mass
- Summary of key points
- Chapter 6: Vectors
- 6.1: Vectors to describe displacements
- 6.2: Adding vectors, and representing vectors using line segments
- 6.3: Describing vectors using i, j notation
- 6.4: Solving problems using vectors
- 6.5: The velocity of a particle as a vector
- 6.6: Solving problems involving velocity and time using vectors
- 6.7: Using vectors to solve problems about forces
- Summary of key points
- Review Exercise 2
- Examination style paper
- Answers
- Index
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