# A레벨_Further Mathematics(AS)_Mechanics 1 > A레벨_AS

## 과정소개

교재 : edexcel / 수강기간 : 30일

Mechanics 1

Mechanics 1 is an applied module that
concerns the kinematics, dynamics and statics of particles. Basic concepts of
motion are introduced, alongside forces, momentum, moments and more. This area
relates strongly to the field of Physics, where these concepts are also
studied, but here we focus more on the mathematical side of trying to find
solutions to the problems presented

**Chapter 1: Mathematical Model in Mechanics**

The concept of a mathematical model is
introduced and how they often apply to mechanical problems. The SI units system
of base and derived units is also introduced which allow for a consistent
framework to approach the course with.

**Chapter 2: Constant Acceleration**

Displacement-Time, Velocity-Time and
Acceleration-Time graphs are all introduced, including how they relate to each
other and how they can be used in problem solving. Next, the standard equations
of motion under constant acceleration, sometimes called SUVAT equations, are
derived and used. Finally, problems relating to acceleration under gravity are
discussed.

**Chapter 3: Vectors in Mechanics**

The basic algebra of vectors is introduced,
and then applied to problems in Mechanics. In particular, we consider constant
acceleration in two dimensions, and look at solving problems involving multiple
moving objects in the plane.

**Chapter 4: Dynamics of a Particle Moving in
a Straight line**

Force diagrams, forces as vectors and the
concept of a resultant force is introduced. Through Newton’s Second Law of
Motion, forces are linked to acceleration. Motion in two dimensions is
considered, and then problems involving connected particles - connected either
directly or through pulleys – are discussed.

**Chapter 5: Forces and Friction**

Here we start by resolving forces in
parallel and perpendicular directions, allowing us to solve problems with
objects on inclined slopes. Friction is then introduced as a contact force
between two objects, and the differences between limiting and non-limiting
friction are discussed.

**Chapter 6: Momentum and Impulse**

Through Newton’s Second Law, the idea of
the Impulse is derived and applied to forces acting on particles. Through
Newton’s Third Law we arrive at the principle of ‘Conservation of Momentum’ and
problems involving collisions and explosions.

**Chapter 7: Statics of a Particle**

In contrast with dynamics, statics is the study of things not moving. Here we look at different cases of modelling problems using statics, and the potential problems that can arise. In particular, how to deal with friction in the non-limiting case is discussed.

**Chapter 8: Moments**

Until this point, we have considered only
linear motion. With moments, the study of the rotational effect of forces are
introduced. From the definition of a moment we move to the idea of an object in
equilibrium in both a linear sense and a rotational sense. Using this, we are
then able to solve problems including finding the centre of mass of objects,
and understanding the forces on objects where they are on the point of tilting.

## 강의목록

- 18 강의
- 02:21:54

- 1. Mathematical Models in Mechanics 1-1 00:05:49
- 2. Mathematical Models in Mechanics 1-2 00:04:00
- 3. Constant Acceleration 2-1 00:07:18
- 4. Constant Acceleration 2-2 00:06:27
- 5. Constant Acceleration 2-3 00:14:04
- 6. Vectors in Mechanics 3-1 00:07:04
- 7. Vectors in Mechanics 3-2 00:12:07
- 8. Dynamics of a Particle Moving in a Straight Line 4-1 00:09:59
- 9. Dynamics of a Particle Moving in a Straight Line 4-2 00:10:52
- 10. Forces and Friction 5-1 00:08:18
- 11. Forces and Friction 5-2 00:06:40
- 12. Forces and Friction 5-3 00:09:18
- 13. Momentum and Impulse 6-1 00:07:04
- 14. Statics of a Particle 7-1 00:05:26
- 15. Statics of a Particle 7-2 00:06:50
- 16. Moments 8-1 00:05:47
- 17. Moments 8-2 00:08:02
- 18. Moments 8-3 00:06:49