▶ Learn Physics 1 - Math & Matter

This is a hub for learning calculus-based physics 1 concepts. The best way to learn through this hub is to ensure you know the assumed knowledge and learn in order of chapters. If you are learning alongside a class/textbook, use this hub as a reference if you get confused about a topic, or need help with derivations. > [!bug]- Assumed knowledge This hub assumes you have some previous experience with physics and have taken/are taking a Calculus 1 class or equivalent class. The list below is some assumed knowledge by importance. > - [Free Body Diagrams](https://www.youtube.com/watch?v=AfQEEymfzaI&ab_channel=MITOpenCourseWare) > - Describe forces using diagrams. There are no notes inside this website to explain it, so there is a video > - [[Scalar & Vectors]] > - Mathematical definition of describing an object in terms of value and/or direction > - [[Closed Systems|Closed Systems]] > - > - [[Tangential & Perpendicular]] > - Explain the components of a vector at an angle > [!warning]- Beta Notice This hub is in beta. All concepts have derivations and definitions. However, they lack examples, which are being added. # Dimensional Analysis - [[Dimensional Analysis]] - Technique for verifying equations and deriving relationships by comparing the dimensions # Kinematics - [[Distance|1. Distance]] - Scalar measure of the total path length travelled - [[Displacement|2. Displacement]] - Vector from initial to final position - [[Speed|3. Speed]] - Scalar rate of change of distance with time - [[Velocity|4. Velocity]] - Rate of change of displacement vector with time - [[Acceleration|5. Acceleration]] - Rate of change of velocity with time - [[Kinematics|6. Kinematics]] - Study of motion without regard to forces, relating displacement, velocity, acceleration, and time - [[Projectile Motion|7. Projectile Motion]] - Two‐dimensional motion under constant gravity, decomposed into independent horizontal # Dynamics - [[Newton Laws|1. Newton's Laws]] - Three experimentally derived laws - [[Frames of Reference|2. Frames of Reference]] - Coordinate systems (inertial or non-inertial) - [[Forces|3. Forces]] - Vector quantities representing interactions that change an object’s motion - [[External & Internal Forces|4. External & Internal Forces]] - Explains the forces outside and inside a system - [[Static Friction|5. Static Friction]] - Resistive force preventing motion - [[Kinetic Friction|6. Kinetic Friction]] - Resistive force opposing the relative motion of surfaces in contact - [[Impulse|7. Impulse]] - The integral of force over time produces a change in momentum # Momentum - [[Linear Momentum|1. Linear Momentum]] - The quantity of motion is defined as the product of mass and velocity - [[Conservation of Momentum|2. Conservation of Momentum]] - The principle stating that in an isolated system, the total linear momentum remains constant - [[Impulse-Momentum Theorem|3. Impulse-Momentum Theorem]] - Statement that the impulse applied to an object equals its change in momentum # Center of Mass - [[Center of Mass|1. Center of Mass]] - Defines a point where all the mass can be imagined to be at - [[Center of Mass Displacement|2. Center of Mass Displacement]] - Vector difference for the displacement of the COM - [[Center of Mass Velocity & Momentum|3. Center of Mass Velocity & Momentum]] - The rate of change of the center of mass displacement - [[Center of Mass Acceleration|4. Center of Mass Acceleration]] - Rate of change of the COM velocity - [[Center of Mass Dynamics|5. Center of Mass Dynamics]] - Analysis of how net external forces govern the motion of a system’s COM # Energy & Work - [[Work|1. Work]] - Energy transferred by a force acting over a displacement - [[Energy|2. Energy]] - Scalar quantity measuring a system’s capacity to perform work - [[Conservation of Energy|3. Conservation of Energy]] - The principle that in an isolated system, the total energy remains constant - [[Power|4. Power]] - The rate at which work is done or energy is transferred - [[Gravitational Potential Energy|5. Gravitational Potential Energy]] - Energy due to an object’s position in a gravitational field - [[Kinetic Potential Energy & Work-Energy Theorem|6. Kinetic Potential Energy & Work-Energy Theorem]] - Describe the energy of a moving object and its relation to work # Rotational Kinematics - [[Angular Displacement|1. Angular Displacement]] - Angle through which an object rotates about a fixed axis - [[Angular Velocity|2. Angular Velocity]] - The rate of change of angular displacement - [[Angular Acceleration|3. Angular Acceleration]] - The derivative of angular velocity - [[Angular Speed|4. Angular Speed]] - Magnitude of angular velocity - [[Rotational Kinematics|5. Rotational Kinematics]] - Equations relating angular displacement, velocity, and acceleration - [[Angular Frequency & Period|6. Angular Frequency & Period]] - Describe the time it takes for motion to go through some angular displacement - [[Angular Momentum|7. Angular Momentum]] - The rotational analogue of linear momentum # Rotational Dynamics & Energy - [[Torque|1. Torque]] - The measure of a force’s tendency to produce rotation about an axis - [[Moment of Inertia|2. Moment Of Inertia]] - The measure of an object’s resistance to angular acceleration - [[Centripetal Force|3. Centripetal Force]] - The real force directed toward the center of a circular path is required to maintain circular motion - [[Centripetal Acceleration|4. Centripetal Acceleration]] - Acceleration directed toward the center of a circular path - [[Centrifugal Force|5. Centrifugal Force]] - Apparent outward force on a mass in a rotating reference frame - [[Uniform Circular Motion|6. Uniform Circular Motion]] - Motion at constant speed along a circular path with acceleration directed toward the center - [[Rotational Kinematics|7. Rotational Kinematics]] - Equations relating angular displacement, velocity, and acceleration - [[Rotational Work|8. Rotational Work]] - Work done by a torque acting through an angular displacement - [[Rotational Kinetic Energy & Work-Energy Theorem|9. Rotational Kinetic Energy & Work-Energy Theorem]] - The kinetic energy of a rotating object and the relation to the work energy-theorem ---  <div class="mm-form-light"> <iframe src="https://updates.cyberleadhub.com/widget/form/Y0kpQVpjJQuxEfX59m17" id="inline-Y0kpQVpjJQuxEfX59m17" title="Join Math & Matter Newsletter (Light)" data-height="900" scrolling="no" allowtransparency="true" loading="lazy" style="width:100%;height:350px;border:none;border-radius:10px;background:transparent;overflow:hidden" ></iframe> </div>  <div class="mm-form-dark"> <iframe src="https://updates.cyberleadhub.com/widget/form/lbeDLm24VjuaFxhjccA1" id="inline-lbeDLm24VjuaFxhjccA1" title="Join Math & Matter Newsletter (Dark)" data-height="900" scrolling="no" allowtransparency="true" loading="lazy" style="width:100%;height:350px;border:none;border-radius:10px;background:transparent;overflow:hidden" ></iframe> </div>  <script src="https://updates.cyberleadhub.com/js/form_embed.js"></script>