Masterin ineering MasteringComputerScience: Sec 9.2 le Chrome Secure https sessi
ID: 3278129 • Letter: M
Question
Masterin ineering MasteringComputerScience: Sec 9.2 le Chrome Secure https session.masteringengineering.com myct/itemView?assignmentProblemlDz5979289 Sec92Problem 9.65 Resources previous | 3 of 3 | return to assignment Problem 9.65 Part A Suppose that 1.9 m. (Figure 1) Determine the location ( 3) of the centroid C of the area Express your answers using three significant figures separated by a comma. z,y= 3.46, 3.46 in Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining Continue 1:46 PM 7/25/2017Explanation / Answer
the centroid of the given figure can be found by using the following formula
centroid of the body = (centroid of square of siude 2l*Area of this square - centroid of the right top triangle cut out*area of this triangle - centroid of the circle quarter*area of this quarter)/(Area of square - area of quarter circle - area of the triangle)
SO, CENTROID OF SQUARE = (L/2,L/2), area of square = 4L^2
centroid of triangle = ((2L-L/3, 2L - L/3)) = (5L/3,5L/3), area of triangle = 0.5*L^2 = L^2/2
centroid of the quadrant of circle = (4L/3pi,4L/3pi), area = pi*L^2/4
so from the formula, centroid of the figure = ([L/2*4L^2 - 5L*L^2/3*2 - 4L*pi*L^2/4*3pi],[L/2*4L^2 - 5L*L^2/3*2 - 4L*i*L^2/4*3pi])/(4L^2 - L^2/2 - piL^2/4)
com = ([5L/6],[5L/6])/2.714 = L(0.3069,0.3069)
now L = 1.9 in
com = (0.58311,0.58311) in