# centroid&secondmoment_calculation

Feb 3rd, 2012
Studypool Tutor
Price: \$5 USD

Tutor description

The document demonstrates how to use the principle of superposition to calculate the centroid and 2nd moment of a 2D object with "holes". The calculation of 2nd moment involving using the parallel axis theorem. The skills are explained in great detail and very easy to follow and apply to other objects.

Word Count: 540
Showing Page: 1/3
Set up the coordinate system as show, because the object is symmetric about y axis, so the centroid (center of mass) must locate on the y axis. We only need to consider y coordinate of the centroid. By definition the y coordinate of the centroid can be calculated by the integrationThat will take a lot of work. The better approach is to divide the object in 2 parts: top rectangle with 2 holes and bottom rectangle with one hole. From the symmetry, the centroid of top part is at the center of the object, the coordinates is X =0, y =10 mm. For the bottom part we can think that it is consist of a complete rectangle plus a hole with "negative" areal mass density, the centroid of complete bottom rectangle locate at (0,20+15) = (0,35mm), and the hole's centroid locate at its center (0, 42.5), assume the area density of the board is ?, then the mass of the bottom board wit

## Review from student

Studypool Student
" Thanks, good work "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1829 tutors are online

### Other Documents

02/03/2012
02/03/2012
02/03/2012
02/03/2012
02/03/2012

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors