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 thicknesst 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) 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: М — pt y(x) dæ %3D For the center of mass, you add each column's x Am, and divide by M: pt xy(x) dæ ap (2)i z M Calculate xc. The only quantity you'll need is e = 4 m.

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 thicknesst 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) 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: М — pt y(x) dæ %3D For the center of mass, you add each column's x Am, and divide by M: pt xy(x) dæ ap (2)i z M Calculate xc. The only quantity you'll need is e = 4 m.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 67P: Two particles of masses m1 and m2 move uniformly in different circles of radii R1 and R1 about the...

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