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)....
Flipping Physics
AP Physics C: Dynamics Review (Mechanics) - Newton's 3 Laws, Friction, Equilibrium
Calculus based review of Newton’s three laws, basic forces in dynamics such as the force of gravity, force normal, force of tension, force applied, force of friction, free body diagrams, translational equilibrium, the drag or resistive...
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...
Zach Star
The intuition behind Fourier and Laplace transforms I was never taught in school
This video covers a purely geometric way to understand both Fourier and Laplace transforms (without worrying about imaginary numbers).
Catalyst University
Series | Introduction, Notation, Convergence & Divergence
Series | Introduction, Notation, Convergence & Divergence
Flipping Physics
AP Physics C: Rotational Dynamics Review - 2 of 2 (Mechanics)
Calculus based review of the cross product torque equation, how to do a unit vector cross product problem, rotational equilibrium, the rotational form of Newton’s second law, the angular momentum of a particle and of a rigid object with...
Catalyst University
Multivariable Cyclic (Chain) Rule for P-CHEM
Multivariable Cyclic (Chain) Rule for P-CHEM
Brian McLogan
What is the difference of differentiation and antidifferentiation
👉 Learn about integration. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite...
Brian McLogan
Learn how to evaluate the integral of a piecewise function
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral or as a definite...
Virtually Passed
Calculating moment of inertia for rotating bar around end
Calculating moment of inertia for rotating bar around end
Brian McLogan
Find the integral with a given condition
👉 Learn how to find the particular solution to the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral...
Virtually Passed
Force mass acceleration example spring compression
What is the velocity a block must have such that it compresses the spring by 10cm? This will test your knowledge of Newtons laws and motion analysis: eg, dv/dt = a
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.