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The height varies from h to zero according to this function: y(x) = h (7 - 1) The constants h and e replace 1.00 m and 3.00 m. There is also a thickness t and a density p. You need two integrals, the total mass and the center of mass. Possibly surprisingly, you don't actually need the numbers t, h, and p. Дх y(x) The column at x has a mass Am = (density * volume) = y(x) p t Ax. You add all the Am values to get the total mass M. The sum becomes an integral: M = pt У(х) dx For the center of mass, you add each column's x Am, and divide by M: pt X. = M х у(х) dx Calculate xc. The only quantity you'll need is e = 5 m.

The height varies from h to zero according to this function: y(x) = h (7 - 1) The constants h and e replace 1.00 m and 3.00 m. There is also a thickness t and a density p. You need two integrals, the total mass and the center of mass. Possibly surprisingly, you don't actually need the numbers t, h, and p. Дх y(x) The column at x has a mass Am = (density * volume) = y(x) p t Ax. You add all the Am values to get the total mass M. The sum becomes an integral: M = pt У(х) dx For the center of mass, you add each column's x Am, and divide by M: pt X. = M х у(х) dx Calculate xc. The only quantity you'll need is e = 5 m.

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The height varies from h to zero according to this function: y(x) = h ( – 1)´ . The constants h and e replace 1.00 m and 3.00 m. There is also a thickness t and a density p. You need two integrals, the total mass and the center of mass. Possibly surprisingly, you don't actually need the numbers t, h, and p. Ax y(x) X The column at x has a mass Am = (density * volume) = y(x) p t Ax. You add all the Am values to get %3D the total mass M. The sum becomes an integral: М — pt y(x) dx For the center of mass, you add each column's x Am, and divide by M: pt Xc х у(x) dx Calculate xc. The only quantity you'll need is e = 5 m.
Transcribed Image Text:The height varies from h to zero according to this function: y(x) = h ( – 1)´ . The constants h and e replace 1.00 m and 3.00 m. There is also a thickness t and a density p. You need two integrals, the total mass and the center of mass. Possibly surprisingly, you don't actually need the numbers t, h, and p. Ax y(x) X The column at x has a mass Am = (density * volume) = y(x) p t Ax. You add all the Am values to get %3D the total mass M. The sum becomes an integral: М — pt y(x) dx For the center of mass, you add each column's x Am, and divide by M: pt Xc х у(x) dx Calculate xc. The only quantity you'll need is e = 5 m.
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