### Introduction

This Section looks at forces on objects resting or moving on inclined planes and forces on objects moving along curved paths. The previous ideas are exploited in example calculations related to passenger sensations of forces on amusement rides.

#### Prerequisites

- be able to use vectors and to carry out scalar and vector products
- be able to use Newtonâ€™s laws to describe and model the motion of particles
- be able to use coordinate geometry to study circles and parabolas
- be able to use calculus to differentiate and integrate polynomials

#### Learning Outcomes

- compute frictional forces on static and moving objects on inclined planes and on objects moving at constant speed around bends
- calculate the forces experienced by passengers in vehicles moving along straight, curved and inclined tracks

#### Contents

1 Forces in two or three dimensions1.1 Forces during circular motion

2 Amusement rides

2.1 Fearsome forces

2.2 Banked tracks

3 Engineering Example 1

3.1 Car velocity on a bend