# Mechanics 1 Concepts: Advanced Level Mathematics

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Try Udemy for Business- Drastically improve your ability to solve lengthy mechanics 1 questions by following specifically recommended steps
- Easily resolve forces into two directions which are perpendicular to each other
- Easily resolve any force in a direction which is parallel and perpendicular to the inclined plane
- Recognize situations when to use "F = ma" and use it competently
- Confidently deal with forces acting on Rings and Beads
- Recognize with ease situations where Limiting Frictional force is used
- Identify the quickest route to solving kinematic problems
- Identify the basic clues examiners give in questions

- You should have studied science and mathematics at Ordinary Level (O-Level)
- You should have enrolled as a Cambridge Advanced Level Mathematics student

**Mechanics 1** is part of **Advanced Level Mathematics**. It has four topics: **1** - Kinematics of motion in a Straight Line, **2** - Forces and Equilibrium, **3** - Newton's Laws of Motion and **4** - Work Energy & Power. In this course, I have put emphasis on the * understanding of main concepts in mechanics 1* which, in my opinion, poses greatest difficulties to students as they prepare for their

*certification. Each topic has several videos where I will teach you a*

**Advanced Level Mathematics***specific*I start each video by outlining clearly the concept you will learn by the end of the video. At the end of each video, you will download the

**concept in****mechanics 1.***(VDD) which will help you*

**Video Deconstruction Document****what I have just taught in the video.**

**to understand**To understand **mechanics 1 concepts** you do not necessarily need to have studied physics although this will give you an edge over other students. All I need from you is to identify the **mechanics 1**** concept** that I will be teaching you and then do plenty of practice on them. So in my video I may repeatedly mention a **concept **in **mechanics 1**. This is intentional as it is meant to ensure that you understand the **concept**.

- Candidates sitting for Cambridge Advanced Subsidiary (AS) Level Mathematics Paper 4
- Candidates who are in Cambridge Advanced Level (A2) and are re-sitting Mathematics Paper 4
- Candidates sitting for Cambridge Advanced Subsidiary (AS) Level Mathematics Paper 4 but do not have a knowledge of Physics

By the end of the Lecture the student will be able to:

- define speed
- calculate the speed of an object moving with uniform speed
- define velocity
- calculate velocity of an object moving in a straight line
- state that speed has magnitude only while velocity has both magnitude and direction
- state the limitation of the equation: distance = speed X time

By the end of the lecture, the student will be able to:

- define acceleration
- describe the meaning of, say, an acceleration of 2 per second per second
- solve numerical problems using the expression for acceleration
- calculate deceleration of an object which is slowing down

By the end of the lecture, the student will be able to:

- draw a displacement - time sketch for an object moving with constant speed, increasing speed, decreasing speed and an object at rest
- state the significance of the gradient of a displacement - time graph
- calculate the velocity of an object from the gradient of the graph
- describe the motion of an object given a displacement - time graph for the same object

By the end of the lecture, the student will be able to:

- draw a velocity - time graph for an object moving with constant velocity, increasing velocity, decreasing velocity and an object at rest
- state the significance of the gradient of a velocity time - graph
- state the significance of the area under a velocity - time graph
- Calculate the displacement of an object as well as its acceleration when given its velocity - time graph

By the end of the lecture, the student will be able to:

- state the acceleration of an object falling through air with air resistance being neglected
- draw a displacement - time graph for an object moving freely under gravity
- solve numerical problems for motion under gravity

NB: To help you achieve these objectives, please download the VDD and use it along this video lesson

By the end of the lecture the student will be able to:

- define
*weight* - represent weight of an object on a diagram
- describe
and show how tension is represented on a diagram**tension in a string** - describe
*contact force* - describe the nature of the
*frictional component of contact force* - describe the
*normal component of contact force*

By the end of the lecture the student will be able to:

- define a
**vector quantity** - draw
using a line segment and an arrow**representation of a vector** - describe direction of a vector using the angle that the line of action makes with a given frame of reference
- describe
as that part of the force which produces and effect in a given direction*component of a force* which are perpendicular to each other**split a force into components**

By the end of the lecture the student should be able to:

- resolve weight of a body on an inclined place into two components which are perpendicular to each other

By end of this lecture the student will be able to:

- find the
(angle = zero degrees)**resultant of two forces acting in the same direction** - find the
(angle = 180 degrees)**resultant of two forces acting in opposite directions** - find the
(angle = 90 degrees)*resultant of two forces perpendicular to each other* - find the
**resultant of two forces making an angle theta with each other**

By the end of the lecture the student will be able to:

- state the condition for equilibrium that
**for a system of forces to be in equilibrium, then the resultant force is zero** - Use the condition for equilibrium and the idea of resultant force to determine an unknown angle or an unknown force

By the end of the lecture the student will be able to:

- identify the direction of normal component of the contact force for a ring or a bead
- solve problems involving beads and rings

NB: To help you achieve these objectives, please download the VDD and use it along this video lesson

By the end of the lecture, the student will be able to:

- recall the mathematical statement of Newton's second law of motion
- apply Newton’s second law of motion to the linear motion of a particle of constant mass moving under the action of constant forces, which may include friction

By the end of the lecture, the student will be able to:

- solve problems related to newtons' laws of motion for an object moving along an inclined plane

By the end of the lecture the student should be able to:

- state the principle of conservation of energy in the form of Work done by driving force + work done by frictional force = gain in k.e + gain in p.e,
- Use the priciple of conservation of energy to solve numerical problems