B.Tech. (ECE '15), IIT Kharagpur,
AIR 34 in AIEEE - 2011,
Qualified RMO - 2009,
CSE Mains 2017: Essay - 153, Maths - 252

Asim Anand

In this course we would be learning Dynamics. This is one of the topics from Physics that is a part of Mathematics Optional syllabus. Expect plenty of solved examples in addition to sufficient theory. See you there!

Crack UPSC CSE Prelims and Mains Exams. Know how to prepare for UPSC 2019 and 2020, complete syllabus, exam patterns, latest notifications to join IAS, IFS, IPS and other cadres of Civil Services.

UPSC CSE - GS

UPSC - Civil Services Examination (IAS) Preparation

English

Mathematics Optional for UPSC - Dynamics

Crash Course

Basic Numeracy 

CSAT - Paper II

UPSC CSE

Ace the toughest competitive and government exams in India 

Test Preparation

Union Public Service Commission Exams (UPSC)

Basic Numeracy

UPSC - Numeracy - Crash Course

We look at a brief overview of what this course is all about.

Overview

Kinematics in Two Dimensions - I [Chapter 1]

Angular Velocity, Angular Acceleration, Rate of Change of a unit vector in a plane.

Kinematics in Two Dimensions - II

Particular case of rate of change of a unit vector in a plane. Relation between linear velocity and angular Velocity.

Kinematics in Two Dimensions - III

Components of the velocity and acceleration along the coordinate axes.

Kinematics in Two Dimensions - IV

Solved Examples - I

Solved Examples - II

Solved Examples.
Correction: At 12:05, I mentioned that the direction of the angular velocity is either clockwise or anti clockwise. This should be read as "The direction of the angular velocity is perpendicular to the plane of motion and that depends on whether the sense of rotation (omega) is clockwise or anti clockwise".

Solved Examples - III

Radial and Transverse Velocities

Radial and Transverse Accelerations

Solved Examples

Tangential and Normal Velocities

Tangential and Normal Accelerations

Solved Examples [Chapter 1 conclusion]

Rectilinear Motion - Introduction [Chapter 2]

Formulae of rectilinear motion with constant acceleration.

Motion under Constant Acceleration

Newton's Laws of Motion

Simple Harmonic Motion (S.H.M.) - Introduction

S.H.M. - Nature of motion

S.H.M. - Important Definitions

Geometrical Representation of S.H.M.

Important results about S.H.M.

Hooke's Law

Horizontal Elastic String - Equations of Motion

Horizontal Elastic String - Character of Motion

Solved Example

Vertical Elastic String - Equations of Motion

Vertical Elastic String - Two important cases

Correction

Motion under Inverse Square Law

Newton's Law of Gravitation

Motion under Miscellaneous Laws of Forces.

Motion under Miscellaneous Laws of Forces [Chapter 2 conclusion]

Constrained Motion - Motion in a Vertical Circle [Chapter 3]

Motion in a Vertical Circle - Case I

Motion in a Vertical Circle - Case II

Motion in a Vertical Circle - Case III

Motion in a Vertical Circle - Case IV

Important results from Projectile motion.

Important Results from Projectiles

Motion along the outside of a smooth vertical circle.

Motion on the Outside of a smooth Vertical Circle

Cycloid

Motion on a Cycloid - I

Motion on a Cycloid - II

Motion on the outside of a smooth Cycloid

Simple Pendulum - Introduction

Simple Pendulum - Small Oscillations

Simple Pendulum - Oscillations are not small

Beats and Second's Pendulum

Gain or Loss of Beats

Gain or loss of beats - Specific Situations

Solved Example [Chapter 3 conclusion]

Central Orbits - Introduction [Chapter 4]

Differential Equation of a Central Orbit - Polar Form

Differential Equation of a Central Orbit - Pedal Form

Rate of Description of the Sectorial Area

Elliptic Orbit - Law of Force

Correction : The length of the semi latus rectum l = b^2/a (and not b^2/a^2).

Elliptic Orbit - Velocity at any point

Elliptic Orbit - Periodic Time

Hyperbolic & Parabolic Orbits

Velocity from Infinity

Velocity in a Circle

Given the Central Orbit, to find the Law of Force

Apse, Apsidal Distance & Apsidal Angle

Theorem

Given the law of Force to find the orbit.

Given the Law of Force, to find the Orbit

Solved Examples [Chapter 4 conclusion]

Planetary Motion - Newton's Law of Gravitation [Chapter 5]

Motion under the Inverse Square Law

Elliptic, Parabolic & Hyperbolic Paths

Summary of the three cases

Kepler's Laws of Planetary Motion

Deductions from Kepler's Laws

Important Geometrical Properties of an Ellipse

Time of description of an arc - Parabolic Orbit

Time of description of an arc - Elliptic Orbit

Time of description of an arc - Hyperbolic Orbit [Chapter 5 conclusion]

Motion in a Resisting Medium - Introduction [Chapter 6]

Terminal Velocity

Motion of a Particle falling under Gravity - Relation between v & x

Motion of a Particle falling under Gravity - Relation between v & t

Motion of a Particle falling under Gravity - Relation between x & t

Motion of a particle projected vertically upwards.

Motion of a Particle Projected Vertically Upwards

Solved Examples [Chapter 6 conclusion]

Projectile Motion - Introduction [Chapter 7]

Motion of a Projectile & it's Trajectory - I

Motion of a Projectile and it's Trajectory - II

Latus Rectum of the Trajectory

Vertex & Focus of the Trajectory

Directrix of the Trajectory

Time of Flight

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In this course we will learn all about mathmatical formulae, for prelims examination this course is very useful for scoring high marks with speed and accuracy. So do watch and share this course on social media.

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I have 10 years teaching experience in maths related to all competitive exam and I have uploaded a lot of videos in my youtube channel

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various previous years questions are solved in this course based on these formulas.

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This course is a continuation of the course "Mathematics Optional for UPSC - Dynamics".

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I have four years of experience of teaching  maths. 

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In this course, the educator discusses Number System and Series for UPSC CSAT Paper 2

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Have qualified SSC CGL, HSSC PGT & TGT, SLET/NET, CTET, KVS,SBI P. O. WRITTEN EXAMS. Top Unacademy educator 2017.

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HCF and LCM - Basics to Advanced

Lessons

136 lessons • 5h 10m