
Introduce vectors and scalars, magnitude and direction, with unit vectors i, j, k; decompose into components, and apply dot and cross products and find angles.
Explore motion along a straight line, from uniform rectilinear motion to accelerated motion, and relate velocity, instantaneous velocity, acceleration, and displacement through equations and derivatives.
Explore how velocity derives from the vector position, and how integrals (antiderivatives) recover position, with definite and indefinite integrals, area under a curve, and basic projectile motion concepts.
Explore 2D motion and projectile motion under a gravitational field, deriving initial components v0x and v0y, range, and height using no air resistance, energy conservation, and vector methods.
Explore Newton's laws through real-time examples, including free-body diagrams, tensions in connected blocks, friction, and motion on an incline, linking inertia, action–reaction, and mass.
Explore how Newton's laws apply to elevator and friction problems. Learn how normal force and weight change with acceleration, analyze friction on a table, a pulley system, inclined planes.
Explore how Newton's laws govern motion through net forces and f = ma, using free body diagrams. Analyze friction, tension, and centripetal acceleration with vector components and Hooke's law.
Explore the work-energy relationship by defining work as force times displacement, derive kinetic, potential, and elastic energies, and apply energy conservation to roller coaster and spring problems.
Explore energy transformation concepts, including gravitational potential energy, kinetic energy, and elastic energy in springs, and apply conservation of mechanical energy to solve height and velocity problems.
Explore work and energy, study linear momentum and its relation to energy, and apply derivatives, force, and the quadratic equation through practice problems.
Define power as the rate of energy change, derived as force times velocity; relate work to displacement, use dot products for components, and discuss kinetic energy and integrals.
Explore the center of mass and center of gravity, then analyze linear momentum, and differentiate elastic from inelastic collisions using impulse concepts.
Study the rotation of rigid bodies, linking angular velocity and angular acceleration with v = omega r and theta, and master conversions between radians and degrees for practical applications.
Explore torque, angular momentum L = I omega, and rotational inertia I = m r^2, and how these govern energy and power in rotational motion.
Solve torque exercises covering grindstone problems and rotating systems, including angular velocity, angular acceleration, work, inertia, and rolling without slipping on inclines.
Explore torque and rotational motion through step-by-step problems: convert rpm to rad/s, find angular acceleration, compute torque from I and alpha, and apply rotational energy formulas.
Learn how equilibrium requires zero net force and zero net torque, and how center of gravity coincides with center of mass in uniform bodies, illustrated by a meter-bar balance.
Define and compare transverse and longitudinal mechanical waves, explain amplitude and lambda (wavelength), relate velocity to lambda and frequency, and illustrate with sound waves and waves on strings.
Study three-dimensional and overlapping waves, including beating and standing waves, and learn about constructive and destructive interference, nodes and antinodes, and how tension and frequency set wave velocity.
This course offers a rigorous yet accessible introduction to the basic concepts of classical physics, establishing a critical foundational understanding through practical problem-solving. We will begin by mastering kinematics and Newton's Laws of Motion, exploring how fundamental forces govern the movement and interactions of objects in our everyday world. Core topics we’ll cover include the conservation laws of energy and momentum, the mechanics of rotational motion, and the principles of universal gravitation and simple harmonic motion.
This is a practice-oriented course, designed for you to sit back, enjoy the material, and learn actively by tackling quantitative physics problems. Instead of simply presenting formulas, we will methodically derive key equations to demonstrate their conceptual origins and reveal the underlying logic. We will work through numerous step-by-step example solutions, applying algebraic and geometric skills to equip you with the mathematical framework necessary to translate physical scenarios into solvable problems. Furthermore, we’ll explore complex systems, such as friction, inclined planes, and inelastic collision scenarios, to show how these principles connect in real-world engineering. By the end of this course, you’ll not only possess a deep grasp of core physical principles but will be confident in your ability to analyze, set up, and solve virtually any introductory physics question. Get ready to turn abstract ideas into concrete, predictive understanding!