Introductory Classical Mechanics Videos

Chapter 1: Kinematics

This chapter reviews the primary quantities of rotational motion, including rotational quantities and their vector directions, moment of inertia, torque, leverage and equilibrium, application of Newton's Laws for rotation, rotational energy and momentum, rotational collisions, and gyroscopic motion.

Concept Videos

1.1C: Physical Quantities

The concept video explores physical quantities, fundamental and derived quantities, units of measurement and unit standards, and scalar and vector quantities.

1.2C: Kinematic Quantities

The concept video explores the kinematic quantities of motion, including position, path, distance, displacement, speed, velocity, and acceleration, with special attention to the differences between scalar and vector quantities, and between average and instantaneous quantities.

1.3C: 2D Motion and Independence of Axes

The concept video explores 2D kinematics, demonstrating that for a well-chosen set of perpendicular (orthogonal) axes we can solve for independent motions along each axis, greatly simplifying a problem; examples explored include ballistic motion, motion down an inclined plane, and circular motion.

1.4C: Circular Motion and Centripetal Acceleration

The concept video explores 2D circular motion, which arises when velocity and acceleration have orthogonal components; the video defines quantities of angular and tangential motion along a circular path, and the requirement of inward-directed centripetal acceleration for curved trajectories.

1.5C: Relative Motion

The concept video examines the relative motion between moving objects, the concept of reference frames for constant velocity systems, and how to solve problems in moving systems using vector velocities.

Problem Solving Videos

1.1P: Working with Physical Quantities

The problem solving video highlights key tips for working with physical quantities, including the use of scientific notation, significant digits, unit conversions, and comparing and combining physical quantities.

Notes

1.2P: Transforming Between Displacement, Velocity, and Acceleration for Average Values

The problem solving video demonstrates how to transform between kinematic quantities of position, velocity, and acceleration over discrete times, illustrating vector component calculations and graphical approaches to checking your result.

1.3P: Transforming Between Displacement, Velocity, and Acceleration for Instantaneous Values

The problem solving video demonstrates how to transform between displacement, velocity, and acceleration when treated as continuous quantities, illustrating the use of derivatives and integrals for functional forms of these quantities, and checking your results using graphical representations of change.

1.4P: Using Position-Velocity-Acceleration Diagrams

The problem solving video shows how to use diagrams comparing position, velocity, and acceleration versus time to estimate these physical quantities using slope and area under the curve.

Notes

1.5P: 1D Constant Acceleration

The problem solving video evaluates the case of 1D constant acceleration, deriving the general solution for this problem, the use of initial conditions to determine a unique solution, and illustrating approaches for different cases; this video also shows how to solve the case of 2D constant acceleration as two independent 1D problems.

Notes

1.6P: 1D Variable Acceleration

The problem solving video evaluates the case of 1D motion in the case of an acceleration that varies with time, illustrating how to solve for velocity and position using time integrals, and verifying your results graphically.

Notes

1.7P: An Alternate Solution to 1D Constant Acceleration

The problem solving video demonstrates an alternate solution to the 1D constant acceleration problem that eliminates time as a variable, and illustrates its use for problems where acceleration and displacement are known constraints.

Notes

1.8P: Ballistic Trajectories

The problem solving video examines ballistic motion, described as constant acceleration along one axis and constant velocity along another, with an emphasis on calculating and optimizing time of flight and range.

Notes

1.9P: Circular Motion

The problem solving video examines circular motion, illustrating examples of pure circular motion, spiral motion, and cycloidal motion.

Notes

Worksheets

Worksheet 1.2: 1D Constant Acceleration Motion

This worksheet focuses on 1D constant acceleration motion, including: quantities of motion; the kinematic equations; and using position, velocity, and acceleration (PVA) diagrams. Match to videos 1.1C-1.2C and 1.1P-1.7P

Worksheet 1.3: 2D Motion

This worksheet focuses on 2D motion, including: ballistic motion, circular motion, and relative motion. Match to videos 1.3C-1.5C and 1.8P-1.9P.

Introductory Classical Mechanics Videos were created by Adam Burgasser and the UCSD Educational Technology Services (ETS)

This material is released under the CC-BY-NC-SA license, which allows re-users to distribute, remix, adapt, and build upon the material in any medium or format for noncommercial purposes only, and only so long as attribution is given to the creator. If you remix, adapt, or build upon the material, you must license the modified material under identical terms.

Page updated

Google Sites

Report abuse