Tricks and short cuts in mechanics (Physics)

Name: Tricks and short cuts in mechanics (Physics)
Rating: 5.0 (1 reviews)

Kinematics , Relative motion , pulley constraint , Wedge constraint , General Constraint , Momentum conservation ,

Created byGagan Deep Ahuja

Last updated 9/2025

English

What you'll learn

Tricks and shortcut in physics Not taight in School
Ability to solve complex numericals in shortest possible time
Learn techniques to interpret and solv emechanics problems qucikly with alternative methods
Help to attempt objective type questions in physics quickly
Problem-Solving Techniques: Students will acquire problem-solving skills specific to physics mechanics, including breaking down complex problems into manageabl
Time-Saving Tricks: They will learn time-saving tricks and shortcuts that can help them solve problems more quickly while maintaining accuracy
Conceptual Understanding: While emphasizing shortcuts, the course will ensure students have a strong conceptual understanding of fundamental principles in mech
Kinematics: They will explore techniques for analyzing motion, including equations of motion, relative motion, and graphical representations.
Dynamics: Students will learn methods for analyzing forces, Newton's laws of motion, and how to apply them to various scenarios.
Work, Energy, and Power: The course will cover concepts related to work, kinetic and potential energy, conservation of energy, and the calculation of power
Momentum and Impulse: Students will understand the principles of momentum and impulse and how to use them in collision and momentum-related problems.
. Practical Applications: Throughout the course, students will explore practical applications of mechanics concepts in real-world scenarios.
Critical Thinking and Problem Analysis: Students will develop critical thinking skills and the ability to analyze and solve physics mechanics problems effectiv

Course content

1 section • 16 lectures • 2h 3m total length

Introduction4:11
Explore quick techniques for solving challenging mechanics problems, including projectile motion, center of mass, and constrained motion. Apply these methods to prepare for engineering and olympiad exams.
Introduction 14:16
Motion in one dimension problem 16:42
Explore motion in one dimension by solving a two-particle meeting problem under gravity, using displacement, velocity, and relative velocity to find the meet time.
Motion in one dimension relative motion in ine dimension Problem 23:35
Compare the regular method with a shortcut for two particles under the same downward acceleration. Reveal the relative velocity of 5 m/s, yielding a 5 m separation after 1 second.
Kinematics short cut no.3 Elevator problem5:21
Examine an elevator scenario where a ball is dropped from the roof as the car moves upward, solving with ground-frame and lift-frame analyses of effective gravity.
Kinematics shortcut no.4 motion in a triangle problem8:55
Q. Three particles A, B and C are situated at the vertices of an equilateral triangle ABC of side a at t=0 . Each of the particles moves with constant speed v . A always has its velocity along AB , B along BC , and C along CA . At what time will these particles meet each other?
Short cut no. 5 pulley block system accleration and tension11:24
learn a shortcut for pulley block systems: treat connected masses as a single system, compute acceleration from the net external force over total mass, and then find the tension.
Short cut no. 5 motion of centre of mass13:41
Using a center-of-mass shortcut, this lecture shows how a man walking on a log causes the log to move, with the center of mass remaining fixed, relating displacements to masses.
Cart and ball problem5:33
This lecture analyzes the cart and ball problem, a central-force system with a pendulum on a car, where no external forces act, linking cart displacement to the ball’s motion.
Child jumping from a stationary car6:08
explore how a child jumping off a stationary flatcar on a frictionless floor causes the car to recoil left, using center of mass to relate speeds.
Momentum conservation7:03
Apply the momentum conservation principle to a cart and child system, deriving initial and final velocities after the child jumps, with no external forces.
Bodies accelerated on a horizontal surface6:27
Apply Newton's laws to a mass on a horizontal surface connected by a string to a hanging mass, deriving acceleration and string tension using free body diagrams and simultaneous equations.
Smooth single inclined plane with pulley system10:18
Explore a smooth single inclined plane with a pulley system, deriving equations of motion for two masses connected by a string, using a free-body diagram and conventional method.
Pulley constraint problem14:25
analyze a pulley constraint problem in mechanics, showing how total string length stays constant and how moving blocks change individual segments, linking segment velocities for a concise solution.
Wedge Constraint problem technique6:45
Explore the wedge constraint problem technique by analyzing two blocks under a constrained motion, using velocity perpendicular to the x-axis and differentiating equations to determine accelerations and contact conditions.
General constraint problem short cut technique9:00
Use a general shortcut for constraint problems in mechanics by keeping the string length constant and ensuring both ends move with the same velocity along the string.

Requirements

Basic Physics Knowledge: Students should have a foundational understanding of basic physics concepts, including mechanics, such as Newton's laws of motion, vectors, and kinematics.
Mathematics Proficiency: Depending on the course level, students may need a certain level of proficiency in mathematics, particularly algebra and trigonometry. More advanced courses may require calculus knowledge. 3. Algebra Skills: Understanding and manipulating algebraic equations and expressions is essential for solving physics problems. 4. Trigonometry: Some mechanics problems involve trigonometric functions and identities, so students should have a working knowledge of trigonometry. 5. Pre-Calculus (if applicable): For more advanced courses or if you plan to cover calculus-based mechanics, students may need a background in pre-calculus or calculus. 6. Physics Terminology: Familiarity with physics terminology and units is important for understanding and working with physics problems. 7. Readiness to Learn: Enthusiasm and a willingness to learn and practice problem-solving techniques are important prerequisites for any physics course. 8. Recommended Courses (if applicable): Depending on the course's level, you may recommend that students have completed specific prerequisite physics courses or have certain qualifications. It's essential to clearly communicate these prerequisites to potential students when advertising your course. This ensures that those who enroll are adequately prepared and have the necessary background knowledge to benefit from the content and successfully apply the tricks and shortcuts you'll be teaching in your physics mechanics course.
Algebra Skills: Understanding and manipulating algebraic equations and expressions is essential for solving physics problems.
Trigonometry: Some mechanics problems involve trigonometric functions and identities, so students should have a working knowledge of trigonometry.
Physics Terminology: Familiarity with physics terminology and units is important for understanding and working with physics problems.
Readiness to Learn: Enthusiasm and a willingness to learn and practice problem-solving techniques are important prerequisites for any physics course.

Description

This course I have made for introducing short powerful techniques for solving complex mechanics problems (not taught in school) which i learned and developed after many years of teaching this subject. Students preparing for various exams like advanced placement or various engineering or medical entrance examinations or physics olympiad will find these techniques very usefull for solving some complex problems related to mechanics.

From past many years i found many students struggling with problems related to mechanics speciaally motion in one D,relative motion, Projectile Motion and problems related to work energy and power.ALso many times when giving exams one is supposed to solve each questions in less than one minute.Techniques required to solve such questions are not given in textbooks who try to provide a generalised solution to a given problem which everyone can understand.

Many students always look for techniques to solve those questions within few seconds to develop an edge over other students while giving competitive exams .

Slowly i developed some techniques of solving these problems within a minute and have been teaching them to students studying from me.

Now i have planned to disperse my knwledge of some powerful problem solving strategies in mechanics to large number of students worldwide .

I hope uyou appreciate my effort and hope this course helps you in developing an edge in physics problem solving strategies.

Regards

Gagan Deep Ahuja

Who this course is for:

XI and XII grade students preparing for various competitive examinations of engineering and medical entrance where answering a complex question in less than one minute is desired
Students pereparing for Advance Placement exam on mechanics
Students looking to develop techniques to interpret and solve complex problems in mechanics very quickly