Flipping Physics
Work as the Dot Product
Work as the dot product is defined. The dot product using unit vectors is reviewed. Several examples are worked through. Want Lecture Notes? http://www.flippingphysics.com/work-d... This is an AP Physics C: Mechanics topic.
Brian McLogan
Verifying a trigonometric identity with multiple steps
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
Understand the relationships between rectangular and polar coordinates
Understand the relationships between rectangular and polar coordinates
Brian McLogan
Given the magnitude and angle how do you find the dot product of two vectors
Learn how to determine the dot product of vectors. The dot product of two vectors also called the scalar product of the vectors is the sum of the product of the components of the vectors in each direction. When the magnitudes of the...
Brian McLogan
Learn how to write the vector in component form given the magnitude and direction
Learn how to write a vector in component form when given the magnitude and direction. When given the magnitude (r) and the direction (theta) of a vector, the component form of the vector is given by r(cos(theta), sin(theta)).
Brian McLogan
How to convert a polar point into rectangular coordinate
In this video series you will learn multiple math operations. I teach in front of a live classroom showing my students how to solve math problems step by step. My math tutorials should be used to review previous lessons, complete your...
Brian McLogan
Learn how to take the derivative with charts using quotient rule
👉 Learn how to find derivative using a given table of values. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
Learn how to write the equation of the tangent line using trigonometry
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Virtually Passed
polar equation of motion
Here I derive the most generic equations of motion (position, velocity & acceleration) for a continuous curve. The calculus is pretty involved so I definitely recommend you hit up your math textbook first!
Brian McLogan
Write an expression as a single function using the sum and difference formulas
👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Brian McLogan
How to determine the function and angle given an expression
👉 Learn all about sum and difference angle identities. In this video playlist, you will learn how to evaluate, solve, simplify and verify using sum and difference angle identities. We will evaluate using angles not found on the unit...
Brian McLogan
Evaluate the identity using sum and difference formula
👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To verify an identity means to ascertain that the left-hand side is equal to the right-hand side of the equality sign....
Brian McLogan
Write the vector in component form given the magnitude and direction
Learn how to write a vector in component form when given the magnitude and direction. When given the magnitude (r) and the direction (theta) of a vector, the component form of the vector is given by r(cos(theta), sin(theta)).
Brian McLogan
How to find the angle between two vectors written as a linear combination
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Brian McLogan
How to take the derivative using chain rule with natural log and cosine
👉 Learn how to find the derivative of exponential and logarithmic expressions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Brian McLogan
How to find the derivative of a function with sine
👉 Learn how to find the derivative of trigonometric functions. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Flipping Physics
Simple Harmonic Motion Derivations using Calculus (Mass-Spring System)
Calculus is used to derive the simple harmonic motion equations for a mass-spring system. Equations derived are position, velocity, and acceleration as a function of time, angular frequency, and period. This is an AP Physics C: Mechanics...
Professor Dave Explains
Particle in a Box Part 2: Interpreting the Results
In the previous tutorial we solved the Schrödinger equation for a quantum particle in an infinite square well. This is also known as the problem of the particle in a box. But there is a lot to unpack regarding the results, enough to...
Brian McLogan
L'Hopital's Rule sine x over x
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
How to find the angle between two vectors
Learn how to determine the angle between two vectors. To determine the angle between two vectors you will need to know how to find the magnitude, dot product and inverse cosine. Then, the angle between two vectors is given by the inverse...
Brian McLogan
Evaluate the limit with tangent
👉 Learn how to evaluate the limit of a function involving trigonometric expressions. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time....
Brian McLogan
How to use the product rule to take the derivative with trig functions with trig functions
👉 Learn how to find the derivative of a function using the product rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the...
Curated Video
Understanding Tangent Values in Right Triangles through Similar Triangles
In this video, we learn how to find the tangent value of an acute angle in a right triangle by using the ratios of the triangle's sides. The tangent value is found by dividing the length of the opposite leg by the length of the adjacent...