Все публикации

0:06:18

Spring shoots a block on a rough surface: find the speed and maximum sliding distance.

0:07:40

Find the period of the conical pendulum given the angle (mass and string uniform circular motion).

0:04:47

Period of oscillation meter stick drilled at the 10cm mark.

0:09:16

How to find the period of a physical pendulum + example with a thin rod physical pendulum.

0:11:31

Partial fractions decomposition with a cubic denominator (root guessing method).

0:08:53

Integral of sqrt(25-4x^2) trig substitution integral.

0:03:13

Integral of cos^2(x)sin^3(x) (integrate cosine squared times sine cubed).

0:03:38

Definite integral of inverse sine using a trigonometric substitution.

0:03:57

Definite integral of inverse sine using integration by parts.

0:01:57

Integral of xsec(x)tan(x) using integration by parts.

0:03:47

Integral of sin^4(x) using the power reducing identities to integrate an even power of sine.

0:06:53

Moment of inertia for a cylinder with increasing density (moment of inertia integral).

0:03:39

Acceleration and force on the driver as a car brakes to a stop.

0:09:04

Free fall in an accelerating elevator: relative velocity at impact.

0:11:01

Vertical free fall with two objects + accelerating reference frame analysis.

0:03:12

How to find the final velocity and displacement for constant acceleration from rest.

0:04:21

Derivation of the integral of 1/(a^2+x^2)=1/a*arctan(x/a)+C.

0:03:08

Find the definite integral of x*sqrt(x-1) on [1,2]: u-substitution and transforming the limits.

0:05:22

How to find the arc length of a semicircle using calculus.

0:07:35

Moment of inertia with variable density: thick spherical shell with variable density rho=k/r.

0:07:02

Cut the parabola in half using calculus: y=1-x^2 cut in half by a horizontal line y=c.

0:07:45

Tension before and after a mass and pulley system is released (Atwood machine problem)

0:05:01

How to find the impact velocity of a projectile launched from a given height.

0:04:20

How to find the volume of a paraboloid using shells (y=1-x^2 revolved about the y-axis).