patrickJMTPhysics

Minimum Force to Overcome Friction.
In this video, there is a box on a horizontal floor. We find the minimum amount of force needed to get the box moving if the force is applied at an angle of 30 ...

Center of Mass / Centroid , Example 2.
Here we look at another example of finding the center of mass using calculus.

Center of Mass / Centroid , Example 1 , Part 2.
Here we find the center of mass of a thin plate using calculus.

Center of Mass / Centroid , Example 1 , Part 1.
Here we find the center of mass of a thin plate using calculus.

System in Equilibrium : Finding 3 Tensions, Missing Weight Given One Weight.
Here we have a system in equilibrium and are given two weights and three cords. We find the tensions in all the cords a...

Weight of 3 Objects in Equilibrium.
Here we find the weight of two objects given the weight of a third object, knowing that the system is in equilibrium as well as some angles.

Weight of a Hanging Object in Equilibrium .
Here, we have a weight hanging from a cord. There is a knot connected to 3 cord total: one to the weighted object and the other two being connected to ...

Moments and Center of Mass of a Discrete Set of Objects.
In this video, I find the moments and center of mass of 3 distinct objects.

Snell's Law : A Calculus Based Proof. Here I prove Snell's Law using techniques that a person would learn in a first course of calculus.

Volume of Parallelpiped using Cross Product.
In this video, I show how to find the volume of a parallelpided using the cross product.

Area of Triangle using Cross Product.
In this video, I use the cross product to find the area of a triangle.

Finding the Angle Between Unit Vectors if Cross Product is Known.
In this example, we know the cross product of two unit vectors ; we use that information to determine possible angles between the ...

Finding a Missing Component of a Cross Product Given One Vector and Unknown Vector.
In this example, we have an unknown vector, a known vector and all of the cross product except for one component...

Vector Arithmetic , Example 1.
Here we are given two vectors ; I show how to multiply by a constant and add them together. Nothing fancy!

Position Vector and Length of a Vector.
In this example, I find the position vector between two points with a specified direction and I also find the length of the vector.

Draw / Sketch a Vector Sum, Example 3.
In this example, we draw the resulting vector after we combine them via subtraction.

Draw / Sketch a Vector Sum , Example 2.
In this example, we draw the vector resulting from multiplying and subtracting two vectors.

Draw / Sketch a Vector Sum , Example 1.
In this example, we are given three vectors. We then sketch resulting vector after we sum up those three vectors.