Mechanics 1 Concepts: Advanced Level Mathematics
4.6 (10 ratings)
82 students enrolled

# Mechanics 1 Concepts: Advanced Level Mathematics

Complete in-depth coverage of mechanics 1 concepts which are examined at Advanced Level Mathematics
4.6 (10 ratings)
82 students enrolled
Created by MUNRO KAGWE
Last updated 5/2020
English
Current price: \$104.99 Original price: \$149.99 Discount: 30% off
5 hours left at this price!
30-Day Money-Back Guarantee
This course includes
• 9.5 hours on-demand video
• Access on mobile and TV
• Certificate of Completion
Training 5 or more people?

What you'll learn
• 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
Requirements
• You should have studied science and mathematics at Ordinary Level (O-Level)
• You should have enrolled as a Cambridge Advanced Level Mathematics student
Description

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 Advanced Level Mathematics certification. Each topic has several videos where I will teach you a specific concept in mechanics 1. 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 Video Deconstruction Document (VDD) which will help you to understand what I have just taught in the video.

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.

Who this course is for:
• 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
Course content
Expand all 50 lectures 09:16:20
+ Kinematics of Motion in a Straight Line
13 lectures 02:21:17
Preview 04:07

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

1. distinguish between distance and displacement
2. determine distance covered by an moving in different directions
3. determine displacement of an object moving in different directions
Distance and displacement
15:22

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

1. define speed
2. calculate the speed of an object moving with uniform speed
3. define velocity
4. calculate velocity of an object moving in a straight line
5. state that speed has magnitude only while velocity has both magnitude and direction
6. state the limitation of the equation: distance = speed X time
Speed and Velocity
08:06

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

1. define acceleration
2. describe the meaning of, say, an acceleration of 2 per second per second
3. solve numerical problems using the expression for acceleration
4. calculate deceleration of an object which is slowing down
Acceleration and equations of uniformly accelerated motion
13:35

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

1. draw a displacement - time sketch for an object moving with constant speed, increasing speed, decreasing speed and an object at rest
2. state the significance of the gradient of a displacement - time graph
3. calculate the velocity of an object from the gradient of the graph
4. describe the motion of an object given a displacement - time graph for the same object
Draw and use Displacement - time graphs in problem solving
08:36

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

1. draw a velocity - time graph for an object moving with constant velocity, increasing velocity, decreasing velocity and an object at rest
2. state the significance of the gradient of a velocity time - graph
3. state the significance of the area under a velocity - time graph
4. Calculate the displacement of an object as well as its acceleration when given its velocity - time graph
Draw and use Velocity - time graphs in problem solving
18:44

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

1. recall the three equations of uniformly - accelerated motion
2. Identify the right equation to use
Using Equations of uniformly - accelerated motion in questions
13:32

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

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

Motion under gravity - part 1
06:16

Ensure you have downloaded Video Deconstruction Document (VDD) as you watch the video

Motion under gravity - part 2
08:34
Motion under gravity - part 3
04:01
Motion under gravity - part 4
11:04

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

1. use differentiation and integration with respect to time to solve simple problems concerning displacement, velocity and acceleration
Recognize questions that require Differentiation and Integration (Calculus)
18:54
Integration
10:26
+ Forces and Equilibrium
14 lectures 02:53:22

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

1. describe the term force
2. state the SI unit of force
3. write the SI unit of force as a complete word and as an abbreviation
4. represent a force on a diagram
Introduction to Force
14:35

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

1. define weight
2. represent weight of an object on a diagram
3. describe tension in a string and show how tension is represented on a diagram
4. describe contact force
5. describe the nature of the frictional component of contact force
6. describe the normal component of contact force
Types of Force: Weight, Tension in strings, driving force and Frictional force
18:51

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

1. define a vector quantity
2. draw representation of a vector using a line segment and an arrow
3. describe direction of a vector using the angle that the line of action makes with a given frame of reference
4. describe component of a force as that part of the force which produces and effect in a given direction
5. split a force into components which are perpendicular to each other
Resolution of a force into components
13:47

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

1. resolve weight of a body on an inclined place into two components which are perpendicular to each other
Preview 17:23
Horizontal force on object on inclined plane
08:41

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

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

Resultant Force of two forces in same direction and Opposite direction
12:43

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

1. find the resultant of two forces perpendicular to each other (angle = 90 degrees)
Resultant force of two forces perpendicular to each other
05:30

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

1. find the resultant of two forces making an angle theta with each other
Resultant force of two forces making an angle theta with each other
10:55
1. calculate the coefficient of friction between two surfaces
Resultant force of more than two forces acting on an object
13:52

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

1. state the condition for equilibrium that for a system of forces to be in equilibrium, then the resultant force is zero
2. Use the condition for equilibrium and the idea of resultant force to determine an unknown angle or an unknown force
Use condition for equilibrium and resultant force to find a force or an angle
11:17

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

1. state Newton's third law of motion
2. describe contact force
3. describe the normal component of contact force
4. describe frictional component of contact force
The concept of contact force
14:07

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

1. describe the meaning of limiting equilibrium
2. Calculate unknown quantities when a system is said to be in limiting equilibrium
The concept of Limiting Equilibrium
17:05

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

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

Normal and Frictional components for Rings and Beads part 1
08:11

Normal Component of Contact Force (R) for Rings and Beads - part 2
06:25
+ Newton's Laws of Motion
9 lectures 01:18:10

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

1. state Newton's first law of motion
2. use Newton's first law of motion in problem solving
Newton's first law of motion
08:10

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

1. solve advanced problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration
Newton’s second law of motion
03:24
Application of Newton’s second law of motion - Part 1
03:00
Application of Newton’s second law of motion - Part 2
07:17
Application of Newton’s second law of motion - Part 3
13:11

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

1. state Newton's third law and use it in problem solving
Newton's third law of motion
13:30

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

1. recall the mathematical statement of Newton's second law of motion
2. 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
Connected particles – part 1
12:01

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

1. solve problems related to newtons' laws of motion for an object moving along an inclined plane
Preview 07:53

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

1. calculate mass or weight from the relationship - Weight = mass X g
2. solve simple problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration

Connected particles – part 3
09:44
+ Work, Energy and Power
5 lectures 01:08:57

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

1. define work,
2. calculate work done by a constant force,
3. calculate work done by a constant force inclined at an angle to the horizontal
4. calculate work done by Frictional force
Concept of work: Use of the equation Work = Force X distance
18:07

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

1. define kinetic energy
2. calculate kinetic energy possessed by a moving object
3. calculate gain in kinetic energy of an object when its speed changes
Questions involving Kinetic energy
07:09

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

1. define gravitational potential energy possessed by a body
2. calculate potential energy possessed by a body
3. calculate gain in potential energy when an object is raised above a given reference point
Questions involving Potential energy
11:07

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

1. 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,
2. Use the priciple of conservation of energy to solve numerical problems
Conservation of energy principle: Work done by external forces = Gain in energy
09:44

learn how to simplify questions involving Principle of Conservation of Energy

Application of The Principle of Conservation of Energy
22:50
+ Examination Style Questions
9 lectures 01:34:34

M1 Exam-Style Question 1

Preview 14:42
Preview 09:36
9709_s02_qp_4_#2
10:48
9709_s10_qp_41_#1
07:05
9709_s10_qp_41_#2
06:09
9709_s10_qp_41_#3
04:30
9709_s10_qp_41_#4
05:38
9709_s10_qp_41_#5
07:40
9709_s10_qp_41_#6
28:26