{"page":"\n\n
\n
\n
\n
\n
\n\nVideo\n
\n

\nCentroid of area\n

\n
\n
\nGet Free Access for 10 Days!\n
\n
\n
\n
\n
\n
×
\n\n\n
\n\nPublisher:\n\nVirtually Passed\n\n\n
\n
\nThe Centroid of an area is the same as the center of mass for objects which have constant thickness and constant density. A general approach to solving centroid problems is to:1) define an axis2) Find equations of geometry3) Choose an...\nThe Centroid of an area is the same as the center of mass for objects which have constant thickness and constant density. A general approach to solving centroid problems is to:
1) define an axis
2) Find equations of geometry
3) Choose an element of area dA
4) finding x_c and y_c and plugging them into the equations to solve the integration.

Notice that this equation has another form for composite objects (like a T - bar).
x_bar = sum(x_c_i * A_i)/A_total
y_bar = sum(y_c_i * A_i)/A_total\n
\n
\n\n
\n
\n
\n
\n

Resource Details

\n
\n
\n
\n
Curator Rating
\n
\n
\n
\n
\n
\n
Educator Rating
Not yet Rated
\n
\n
\n
\n
\n
Media Length
\n
10:27
\n
\n
\n
\n
\n
Grade
Higher Ed
\n
\n
\n
\n
\n
Subjects
All Subjects
\n
\n
\n
\n
\n
Media Type
Instructional Videos
\n
\n
\n
\n
\n
Source:
\n
\nVirtually Passed\n\n
\n
\n
\n
\n
\n
Date
\n
2013
\n
\n
\n
\n
\n\n
Language
English
\n
\n
\n
\n
\n
Audiences
For Teacher Use
2 more...
\n
\n
\n
\n
\n
Usage Permissions
Fine Print: Educational Use
\n
\n
\n
\n
\n
\n

Additional Materials

\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Transcript\n
\n
\n\nSign in or Join Now
\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" href=\"/subscription/new\">Video Preview\n
\n
\n
\n

Concepts

\n
\n
distance, values, area, height, centroid
\n
\n\n\n
\n
\n
\n
\n

Additional Tags

\n
\n
statics centroids, small element, red dot, makes sense, vertical strip, squared dx, final values, ba times, area da, total area, horizontal distance, integral da, squared, times, choose, approach, steps, evaluated, base, evaluate, integral, video, find, coordinate, equation, divided
\n
\n\n\n
\n
\n
\n
\n

Classroom Considerations

\n
Video is ad-free
\n
\n
\n

Educator Ratings

\n
\n
\n
\n
\n
\n\nShow resource details\n
\n
\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Centroid of area\" href=\"/subscription/new\">\"Centroid\n\n
\n
\n
\n\n\n\n"}