1. Area G (shown in figure 1) is bound above by the function y, =x³ and below by the linear function y, = x . The shape has a constant area density of p=2.5 kg/m² . Find the centroid (7,J) of the area G. Because of the object's uniform density, this will be the same position as the object's center of mass. This problem requires calculus. (m) R 1 → x (m) 1 Figure I

Advanced Engineering Mathematics
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ISBN:9780470458365
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1. Area G (shown in figure 1) is bound above by the function y, =x and below by the
linear function y, = x . The shape has a constant area density of p= 2.5 kg/m² . Find the
centroid (7, J) of the area G. Because of the object's uniform density, this will be the
same position as the object's center of mass. This problem requires calculus.
(m) R
1
x (m)
Figure 1
Transcribed Image Text:1. Area G (shown in figure 1) is bound above by the function y, =x and below by the linear function y, = x . The shape has a constant area density of p= 2.5 kg/m² . Find the centroid (7, J) of the area G. Because of the object's uniform density, this will be the same position as the object's center of mass. This problem requires calculus. (m) R 1 x (m) Figure 1
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