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Determine the mass and centroid of a sheet of uniform density p, which is limited by the function f (x) =, the x-axis and the line x = 4

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Answer to a math question Determine the mass and centroid of a sheet of uniform density p, which is limited by the function f (x) =, the x-axis and the line x = 4

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Brice
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106 Answers
1. Calcular la masa: M = p \int_{0}^{4} f(x) \, dx
2. Calcular las coordenadas del centroide: \bar{x} = \frac{1}{M} \int_{0}^{4} x f(x) \, dx
3. Calcular: \bar{y} = \frac{1}{2M} \int_{0}^{4} f(x)^2 \, dx
Respuesta: La masa es M = p \int_{0}^{4} f(x) \, dx y el centroide es \left(\bar{x}, \bar{y}\right) donde \bar{x} = \frac{1}{M} \int_{0}^{4} x f(x) \, dx y \bar{y} = \frac{1}{2M} \int_{0}^{4} f(x)^2 \, dx

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