http://s22.postimg.org/9ng23tl2p/10_3.png A machinist makes the object shown in
ID: 2262303 • Letter: H
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A machinist makes the object shown in the figure. The larger-diameter cylinder is made of brass (density of 8.6 g/cm3); the smaller-diameter cylinder is made of aluminum (density of 2.7 g/cm3). The dimensions are r1 = 2.55 cm, r2 = 5.10 cm, d1 = 20.4 cm, and d2 = 5.10 cm. (Figure is not to scale.)
a) What is the x-component of the center of mass?
b) What is the y-component of the center of mass?
A machinist makes the object shown in the figure. The larger-diameter cylinder is made of brass (density of 8.6 g/cm3); the smaller-diameter cylinder is made of aluminum (density of 2.7 g/cm3). The dimensions are r1 = 2.55 cm, r2 = 5.10 cm, d1 = 20.4 cm, and d2 = 5.10 cm. (Figure is not to scale.) What is the x-component of the center of mass? What is the y-component of the center of mass?Explanation / Answer
m1 = pi*r1^2*d1*D1 = 3.14*2.55^2*20.4*2.7=1124.61 g...x1= d2 + (d1/2) = 5.1+10.2 = 15.2cm...y1 = r2............................
m2 = pi*r2^2*d2*D2 = 3.14*5.1^2*5.1*8.6 = 3582.1g........x2 = d2/2 = 2.55 cm..........
y2 = r2 ................
Xcm = m1*x1+m2*x2)/(m1+m2) = ((1124.61*15.2)+(3582.1*2.55))/(1124.61+3582.1)= 5.572 cm....................
Ycm = r2 = 5.1cm
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