find-the-center-of-mass-xyoverlinexoverliney-of-a-thin-plate-occupying-the-regio

Question

Find the center of mass (x‾,y‾)(\overline{x},\overline{y}) of a thin plate occupying the region bounded on the left by x=y2x=$$y^{2}$$ and on the right by x=3yx=3y for 0≤y≤30\le y\le 3, with density δ(y)=1+y\delta(y)=1+y. Use horizontal strips.

Accepted Answer

(20750,4225)\left(\frac{207}{50},\frac{42}{25}\right)

Answer

(4225,1425)\left(\frac{42}{25},\frac{14}{25}\right)

Answer

(20750,1425)\left(\frac{207}{50},\frac{14}{25}\right)

Answer

(4225,20750)\left(\frac{42}{25},\frac{207}{50}\right)

Find the center of mass (x‾,y‾)(\(\overline{x}\),\(\overline{y}\)) of a thin plate occupying the region bounded on the left by x=y2x=y^{2} and on the right by x=3yx=3y for 0≤y≤30\(\le\) y\(\le\) 3, with density δ(y)=1+y\(\delta\)(y)=1+y. Use horizontal strips.

Find the center of mass $(\overline{x}, \overline{y})$ of a thin plate occupying the region bounded on the left by $x = y^{2}$ and on the right by $x equals 3 y$ for $0 is less than or equal to y is less than or equal to 3$ , with density $δ (y) = 1 + y$ . Use horizontal strips.