Mechanics 1 Concepts: Advanced Level Mathematics

Name: Mechanics 1 Concepts: Advanced Level Mathematics
Rating: 4.6 (26 reviews)

Complete in-depth coverage of mechanics 1 concepts which are examined at Advanced Level Mathematics

Highest Rated

Created byMUNRO KAGWE

Last updated 8/2020

English

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

Course content

6 sections • 56 lectures • 10h 21m total length

Course Guide4:07
Distance and displacement15:22
By the end of the lecture the student will be able to:

distinguish between distance and displacement

determine distance covered by an moving in different directions

determine displacement of an object moving in different directions
Speed and Velocity8:06
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
Acceleration and equations of uniformly accelerated motion13:35
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
Draw and use Displacement - time graphs in problem solving8:36
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
Draw and use Velocity - time graphs in problem solving18:44
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
Using Equations of uniformly - accelerated motion in questions13:32
By the end of the lecture, the student will be able to:

recall the three equations of uniformly - accelerated motion

Identify the right equation to use
Motion under gravity - part 16:16
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
Motion under gravity - part 28:34
Ensure you have downloaded Video Deconstruction Document (VDD) as you watch the video
Motion under gravity - part 34:01
Motion under gravity - part 411:04
Recognize questions that require Differentiation and Integration (Calculus)18:54
By the end of the lecture, the student will be able to:

use differentiation and integration with respect to time to solve simple problems concerning displacement, velocity and acceleration
Integration10:26

Introduction to Force14:35
By the end of lecture, the student will be able to:

describe the term force

state the SI unit of force

write the SI unit of force as a complete word and as an abbreviation

represent a force on a diagram
Types of Force: Weight, Tension in strings, driving force and Frictional force18:51
By the end of the lecture the student will be able to:

define weight

represent weight of an object on a diagram

describe tension in a string and show how tension is represented on a diagram

describe contact force

describe the nature of the frictional component of contact force

describe the normal component of contact force
Resolution of a force into components13:47
By the end of the lecture the student will be able to:

define a vector quantity

draw representation of a vector using a line segment and an arrow

describe direction of a vector using the angle that the line of action makes with a given frame of reference

describe component of a force as that part of the force which produces and effect in a given direction

split a force into components which are perpendicular to each other
Resolution of a force on an Inclined Plane17:23
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
Horizontal force on object on inclined plane8:41
Resultant Force of two forces in same direction and Opposite direction12:43
By end of this lecture the student will be able to:

find the resultant of two forces acting in the same direction (angle = zero degrees)

find the resultant of two forces acting in opposite directions (angle = 180 degrees)

find the resultant of two forces perpendicular to each other (angle = 90 degrees)

find the resultant of two forces making an angle theta with each other
Resultant force of two forces perpendicular to each other5:30
By the end of the lecture the student will be able to:

find the resultant of two forces perpendicular to each other (angle = 90 degrees)
Resultant force of two forces making an angle theta with each other10:55
By the end of the lecture the student will be able to:

find the resultant of two forces making an angle theta with each other
Resultant force of more than two forces acting on an object13:52
calculate the coefficient of friction between two surfaces
Use condition for equilibrium and resultant force to find a force or an angle11:17
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
The concept of contact force14:07
By the end of the lecture the student will be able to:

state Newton's third law of motion
describe contact force
describe the normal component of contact force
describe frictional component of contact force
The concept of Limiting Equilibrium17:05
By the end of the lecture the student will be able to:

describe the meaning of limiting equilibrium

Calculate unknown quantities when a system is said to be in limiting equilibrium
Normal and Frictional components for Rings and Beads part 18:11
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
Normal Component of Contact Force (R) for Rings and Beads - part 26:25
NB: To help you achieve these objectives, please download the VDD and use it along this video lesson

Newton's first law of motion8:10
By the end of the lecture, the student will be able to:

state Newton's first law of motion

use Newton's first law of motion in problem solving
Newton’s second law of motion3:24
By the end of the lecture, the student will be able to:

solve advanced problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration
Application of Newton’s second law of motion - Part 13:00
Application of Newton’s second law of motion - Part 27:17
Application of Newton’s second law of motion - Part 313:11
Newton's third law of motion13:30
By the end of the lecture the student will be able to:

state Newton's third law and use it in problem solving
Connected particles – part 112:01
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
Connected particles – part 27:53
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
Connected particles – part 39:44
By the end of the lecture, the student will be able to:

calculate mass or weight from the relationship - Weight = mass X g

solve simple problems which may be modelled as the motion of a particle moving vertically or on an inclined plane with constant acceleration

Concept of work: Use of the equation Work = Force X distance18:07
By the end of the lecture the student will be able to:

define work,

calculate work done by a constant force,

calculate work done by a constant force inclined at an angle to the horizontal

calculate work done by Frictional force
Questions involving Kinetic energy7:09
By the end of the lecture the student will be able to:

define kinetic energy

calculate kinetic energy possessed by a moving object

calculate gain in kinetic energy of an object when its speed changes
Questions involving Potential energy11:07
By the end of the lecture the student will be able to:

define gravitational potential energy possessed by a body

calculate potential energy possessed by a body

calculate gain in potential energy when an object is raised above a given reference point
Conservation of energy principle: Work done by external forces = Gain in energy9:44
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
Application of The Principle of Conservation of Energy22:50
learn how to simplify questions involving Principle of Conservation of Energy

Momentum18:19
I explore the following concepts in this lecture:
Basics of momentum of an object
Vector nature of momentum
Momentum and Force16:09
in this lecture I
Explain the link between Force and Momentum
Change in momentum when direction of object changes
Total momentum of bodies moving in same direction6:13
How to calculate total momentum of bodies moving the same direction
Total momentum of bodies moving in opposite directions4:43
How to calculate total momentum of bodies moving the opposite directions
Total momentum of bodies moving in perpendicular directions6:58
How to calculate total momentum of bodies moving at right angles to each other
Total momentum of bodies moving indifferent directions13:15
How to calculate total momentum of bodies moving in different directions

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

Mechanics 1 Concepts: Advanced Level Mathematics

What you'll learn

Explore related topics

Course content

Kinematics of Motion in a Straight Line13 lectures • 2hr 21min

Forces and Equilibrium14 lectures • 2hr 53min

Newton's Laws of Motion9 lectures • 1hr 18min

Work, Energy and Power5 lectures • 1hr 9min

Examination Style Questions9 lectures • 1hr 35min

Bonus Section6 lectures • 1hr 6min

Requirements

Description

Who this course is for: