
Explore how torque drives rotational motion and converts work into kinetic energy, linking angular displacement to linear distance and introducing the rotational kinetic energy formula 1/2 I ω^2.
Examine a hoop rotating with initial omega 2.5 rad/s, compute initial and final kinetic energy using I=MR^2, apply 2.7 J of work to raise KE to 3.09 J.
Explore rolling without slipping across surfaces, analyzing how rotational and translational kinetic energy partition, the role of friction, and energy loss from slipping.
Rolling without slipping uses friction to drive rotation without energy loss; total energy is translational plus rotational, with v_cm = omega r, and for a hoop these parts are equal.
A rolling ball demonstrates energy conservation: potential energy converts to kinetic energy (translation and rotation) with no friction losses as it rolls without slipping along the incline.
Analyze a classic rolling down incline problem with a solid cylinder. Apply conservation of energy to relate potential energy to translational and rotational kinetic energy and find the final speed.
Rank the four rolling objects by rotational inertia to predict finish order; the hoop goes slowest, the solid sphere fastest, and the hollow sphere lies in between.
On an incline derby, two ice surfaces with no friction and two wood surfaces with friction reveal how initial potential energy becomes translational versus rotational kinetic energy.
Explore angular momentum as the rotational analogue of linear momentum, using inertia and omega to derive L = I omega and L = m r v.
Model a roller skater as a cylinder and compute angular momentum using I = 1/2 m r^2 with omega = 1.5 rev/s (≈ 9.42 rad/s), illustrating angular momentum conservation.
Explore change in angular momentum by applying a net torque and time, connecting torque to radius and force and linking angular momentum to impulse and angular acceleration.
Compute stopping torque for a uniform cylinder skater using I equals one-half m r squared, initial omega six pi rad/s, final omega zero, and a stop time.
Explore how conservation of angular momentum governs spin changes with no net torque, using an ice skater who tightens or extends arms to trade moment of inertia for angular speed.
Using the conservation of angular momentum, a figure skater speeds up from omega1 to omega2 as the moment of inertia drops from 4.6 to about 1.23 kg m^2.
Explore conservation of angular momentum on a frictionless merry go round as a person moves from center to edge, altering inertia and kinetic energy.
Explore rotational motion through energy and momentum concepts, comparing disks, hoops, spheres, and cylinders to show how moment of inertia and angular momentum govern speeds down inclines.
Explore how angular momentum is conserved as the moment of inertia changes. See how a mass moving inward speeds rotation, increases angular speed, and affects rotational energy.
Apply rotational energy concepts with ke = 1/2 I omega^2 for a solid cylinder and a rod, convert rpm to rad/s, and analyze a flywheel work scenario.
Compute angular momentum using L = I ω for particles and discs, apply I = 1/2 m r^2, and use conservation to solve proton cyclotron, flywheels, and ice skater problems.
This course is one of several Mousseau Physics courses designed for AP Physics, introductory college physics, and advanced high school physics. In this course we focus on rotational energy and angular momentum. Students will study rotational kinetic energy, rolling motion, work and power in rotational systems, angular momentum, conservation of angular momentum, and the relationship between rotational and linear forms of energy and momentum.
The videos and resources include clear lectures, diagrams, and worked out example problems. Students will practice identifying when rotational energy matters, separating translational and rotational energy, using conservation laws, and interpreting what angular momentum means physically. The course helps students connect rotational mechanics to the energy and momentum tools they already use in linear mechanics.
This course is a strong fit for AP Physics 1 students, AP Physics C Mechanics students who want algebra based reinforcement, and introductory college physics students. It does not require calculus. Students who have worked through linear energy and momentum will find many familiar ideas here, but with the added challenge of rotation and rolling motion.
By the end of the course, students should be more confident solving rolling motion and angular momentum problems, explaining conservation of angular momentum, recognizing how rotational systems store and transfer energy, and connecting rotational mechanics to broader conservation-law reasoning.
Students can work straight through the course as a full unit or use individual lessons as targeted support alongside a class. The videos are built to be paused, rewound, and practiced with pencil and paper, so the course works well for homework help, test review, exam preparation, or rebuilding a topic that did not fully click the first time.