The Physics we're talking about today has saved your life! Whenever you walk across a bridge or lean on a building, Statics are at work. Statics is the study of objects when they're NOT accelerating. In this episode of Crash Course...

What if you were on a high floor of a skyscraper and the building started swaying? Today we’ll explore statics and dynamics, and what they mean for the structures we design. We look at the idea of static equilibrium, forces, and torques,...

Static Equilibrium:

F = ma = 0 (for static objects that aren't acceler
ating
M = I_G alpha = 0 (for static objects that don't have an angular acceleration). Notice that moments can also be written as a...

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. <b<br/>r/>

The larger the moment of inertia, the greater resistance to bending / rotation.

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...

In this video I cover some of the main formulas used for a standard dynamics course:

1) Plane m
otion
2) Project
ile motion
3)
Circular motion
4) Dry Friction
(static and dynamic)
5) Relative motion (for no
n...

The maximum friction force that can be a applied on a stationary object is F_max = u_s N

Shear and Bending are internal forces and moments that can be calculated by making cut sections along different sections of a beam. In general, the shear force and bending moment can vary along the length of the beam x, which is why we...

This video explains where inheritance, interfaces, and statics are used in framework.
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br/>
This clip is from the chapter "Selenium Framework Optimization and Interview Questions" of the series "Selenium WebDriver with Java -...

Forces are vectors and can be summed together by adding their x, y and z components together. This can be done graphically or analytically. This problems solves this analytically.

<b<b<br/>r/>r/>


For those who are looking to get a head start on their engineering pre-req classes or are currently having trouble, this video will provide you with resour<b<br/>r/>ces you can easily find for free.

Pin supports prevent movement in the x and y directions. This is why there are forces acting on the pin in the horizontal and vertical directions.



Roller supports allow movement along one axis which is why there is only 1...

To solve problems like these, make isolated cut selection to find each of the variables one at a time. Then use that fact that under reasonable assumptions (massless rope and frictionless pulleys) then the tension in the cable must be...

In this video I go over 3 google hacks for students (especially college students). As a student you want the quickest ways to find notes, exams, textbooks, research information, and anything to optimize your time.



The...

Calculating the moment of a force can be quite tricky (especially in 3 dimensions). A good way to solve these problems is to use the cross product noting that *M* = *r* x *F*

The moment of a force about a point o is given by M = F d.

F = magnitude of
force
d = perpendicular distance from force t

o point o.

Alternatively, the moment vector can be found by
using cross
products
M_o = r...

Normal Force: provides force perpendicular to the surface and only away from the surface



Pin support: Provides forces in x and y direction (for

2d plane)

Roller support: Provides forces perpendicular to the...

To find the moment of a force about a point simply multiply the force by the perpendicular distance from the force vector to the point.

Ix is the second moment of area about the x axis. Choosing the value of dA is the important part for this problem. In this example where we're dealing with a section of a circle, it's easier to use cylindrical coordinates dA = r dr...

Method of joints involves analyzing a free body diagram of individual joints.



By assuming the mass of the truss = 0, the friction in the joints = 0 and the external forces act on the joints exclusively, then it can be proven...

If a pulley is in static equilibrium and the following is true:

1) Rope is mas
sless
2) Pin is fr

ictionless

Then the tension in the cable will be constant everywh

ere along the cable.

There is only 1 force...

For method of sections:<br/>
1) Draw a FBD of the <br/>whole truss
2) Isolate a section of the truss and draw all the interna<br/>l forces that pop out.
3) Apply sum of forces = 0 and sum of moments = 0

Method of sections is a technique used to find the internal forces in a truss. Draw a FBD of a section of the truss and make cut sections though the members that you wish to analyze. Apply equilibrium equations (sum of forces and sum of...

To find the moment of a force about a point simply multiply the force by the perpendicular distance to the point.



To make things easier, you can break the force into horizontal and vertical components and sum each of their...