Flipping Physics
AP Physics C: Simple Harmonic Motion Review (Mechanics)
Calculus based review of Simple Harmonic Motion (SHM). SHM is defined. A horizontal mass-spring system is analyzed and proven to be in SHM and it’s period is derived. The difference between frequency and angular frequency is shown. The...
Catalyst University
Postulates of Quantum Mechanics: Expectation Values
Postulates of Quantum Mechanics: Expectation Values
Brian McLogan
U substitution with a radical
👉 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 an indefinite integral or as a definite...
Brian McLogan
What is an integral and it's parts
👉 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...
Virtually Passed
projectile with drag part 2
What is the equation of motion of a particle that has a drag force acting on it? It's important to note that we've assumed that the drag force is proportional to the velocity at all times. In reality, other factors are involved too like...
Virtually Passed
Optimal path to swim across river in least time - Math Puzzle (HARD)
0:00 - Introduction 0:29 - Speeds 1:23 - Total time 1:47 - Constraint 2:37 - Euler Lagrange 4:20 - Solution 5:05 - MATLAB solution 5:42 - MATLAB solution using solver
Catalyst University
JUST "THE WHY": Introduction to Limits (Why Use Them?)
JUST "THE WHY": Introduction to Limits (Why Use Them?)
Catalyst University
Postulates of Quantum Mechanics: Orthonormality & Basis Sets
Postulates of Quantum Mechanics: Orthonormality & Basis Sets
Catalyst University
Postulates of Quantum Mechanics: Orthogonality of Wavefunctions
Postulates of Quantum Mechanics: Orthogonality of Wavefunctions
Virtually Passed
Impulse and momentum derivation
With the assistance of an animation, this video shows how to calculate impulse using the change in momentum.
Flipping Physics
Nonuniform Density Center of Mass
Determine the x-position center of mass of a horizontally oriented rod with a length of 0.65 m and linear mass density of [43 - 21 x^2 ] g/m. Want Lecture Notes? https://www.flippingphysics.com/center-mass-nonuniform.html This is an AP...
Flipping Physics
Impulse Derivation and Demonstration
Calculus is used to derive and define Impulse. The force as a function of time acting on a ball is demonstrated and graphed in slow motion. Want Lecture Notes? https://www.flippingphysics.com/impulse-area.html This is an AP Physics C:...
Virtually Passed
Math Puzzle - Running on sand
What path should you run along the beach to get from point A to point B in the least time? As you get closer to the sea, the faster you run!
Brian McLogan
How to use usub to find the integral with a square root in the denominator
👉 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 an indefinite integral or as a definite...
Institute for New Economic Thinking
Rethinking Finance as a Part of the Whole
In part 4 of INET's interview with John Fullerton, he says that we should start looking at the financial system as a subset of the larger biosphere, emphasizing the connections between the environment and the economy
Brian McLogan
How to apply u substitution to radicals
👉 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 an indefinite integral or as a definite...
Brian McLogan
Evaluate the integral with the square root using u substitution
👉 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 an indefinite integral or as a definite...
Brian McLogan
Applying iram to a table of values
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and...
Brian McLogan
Find the general and paticular solution
👉 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
rectilinear motion example particle decelerating
Here we've been given an equation describing the acceleration of a particle. Using only two formulas we can solve this problem: a = dv/dt and v = dx/dt. The problem is solved by pushing through the mathematics and plugging in boundary...
Flipping Physics
Using Integrals to Derive Rotational Inertia of a Long, Thin Rod with Demonstration
We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator.
Brian McLogan
Evaluate the integral with e as the lower bound
👉 Learn about the fundamental theorem of calculus. The fundamental theorem of calculus is a theorem that connects the concept of differentiation with the concept of integration. The theorem is basically saying that the differentiation of...
Brian McLogan
Evaluate the definite integral with e
👉 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...
Brian McLogan
How to find the integral using long division and natural logarithms
👉 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 an indefinite integral or as a definite...