Flipping Physics
Conservative Force and Potential Energy
The equation which relates a conservative force to potential energy is derived. Examples are shown which prove the equation to be correct. An example is worked through and a gravitational comparison is made. Want Lecture Notes?...
Flipping Physics
AP Physics C: Kinematics Review (Mechanics)
Calculus based review of conversions, velocity, acceleration, instantaneous and average velocity and acceleration, uniformly accelerated motion, free fall and free fall graphs, component vectors, vector addition, unit vectors, relative...
Flipping Physics
AP Physics C: Equations to Memorize (Mechanics)
Calculus based review of equations I suggest you memorize for the AP Physics C: Mechanics Exam. Please realize I abhor memorization, however, there are a few equations which I do recommend you memorize. I also list equations NOT to...
Flipping Physics
Parallel Axis Theorem Derivation
Deriving the Parallel Axis Theorem for moment of inertia or rotational inertia.
Flipping Physics
Demonstrating Calculus with a Ball and Force Platform
Example: A 321 g rubber, playground ball is dropped from a height of 77.8 cm above a force platform. The data for the force of impact collected at 1000 data points per second as a function of time is shown. Please determine a bunch of...
Flipping Physics
AP Physics C: Rotational vs. Linear Review (Mechanics)
Calculus based review and comparison of the linear and rotational equations which are in the AP Physics C mechanics curriculum. Topics include: displacement, velocity, acceleration, uniformly accelerated motion, uniformly angularly...
Brian McLogan
Particular solution of differential equations
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Math Fortress
Calculus II: Integration By Parts (Level 6 of 6)
This video goes over two examples, covering the proper way to find definite integrals that require the use of multiple integration techniques. Specifically, integration by parts and u-substitution.
Flipping Physics
Center of Mass by Integration (Rigid Objects with Shape)
How to find the center of mass of rigid objects with shape using an integral is shown. The center of mass of a right triangle is derived and demonstrated. Want Lecture Notes and/or Animated GIFs?...
Brian McLogan
Find the particular solution with exponential and inverse trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Flipping Physics
Deriving the Work-Energy Theorem using Calculus
Use the integral and derivative to derive the Work-Energy Theorem or what I prefer to call the Net Work-Kinetic Energy Theorem.
Math Fortress
Calculus II : Integration By Parts (Level 5 of 6)
This video goes over three examples| covering the proper way to find definite integrals that require the application of the integration by parts formula. An example covering the tabular method is also presented.
Flipping Physics
AP Physics C: Rotational Dynamics Review - 1 of 2 (Mechanics)
Calculus based review of moment of inertia for a system of particles and a rigid object with shape, the derivation of rotational kinetic energy, derivations of the following moments of inertia: Uniform Thin Hoop about is Cylindrical...
Math Fortress
Calculus II: Trigonometric Integrals (Level 6 of 7)
This video continues illustrating methods for solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain products of sine and cosine with distinct arguments (angles). This video...
Catalyst University
Particle-on-a-Ring Example #1: Calculate Electron Probability
Particle-on-a-Ring Example #1: Calculate Electron Probability
Virtually Passed
Second Moment of Area Summary
The second moment of area (or moment of inertia of area) about the x or y axis can be found using the integral of y^2 dA and x^2 dA respectively. The larger the moment of inertia, the greater resistance to bending / rotation.
Flipping Physics
AP Physics C: Integrals in Kinematics Review (Mechanics)
Calculus based review of definite integrals, indefinite integrals, and derivatives as used in kinematics. Graphs of position, velocity, and acceleration as a function of time are compared using derivatives and integrals. Two of the...
Virtually Passed
Conservation of Energy Part 2: Kinetic Energy
I derive the formula for Kinetic Energy and show that the total work done by all the forces acting on an object = 0.5 m (V2^2 - V1^2)
Virtually Passed
parallel axis theorem proof
A formal proof of the parallel axis theorem. It's really useful for finding moments of inertia of composite objects and also objects which aren't rotating around the center of mass.
Math Fortress
Calculus II: Trigonometric Integrals (Level 3 of 7)
This video is an introduction to solving trigonometric integrals that contain combinations of trigonometric functions. Specifically, those that contain powers of sine and cosine. This video covers 1 basic example illustrating the case...
Virtually Passed
Second Moment of Area Example 1
To find the second moment of area about the x axis use Ix = /int y^2 dA To find the second moment of area about the y axis use Iy = /int x^2 dA In this video I solve this problem using the double integral method (which is more robust)....
Virtually Passed
Second Moment of Area Example 2
In this video I use the double integral to solve for the moment of inertia of area of a triangle about a vertex Ix = /int y^2 dA This can also be done without using double integrals if we choose a 'larger' value of dA which is a...