Question

CENTROID AND MOMENT OF INERTIA For the shape shown below, determine the following: (Make sure to label or describe the different segments.) a. Centroid (Xbar, Ybar) b. Moment of inertia about the x-axis (1x) c. The radius of the circle is 0.75 ft. NOTE: Use only the equations at the end of this test. (Hint: 4 segments) у 1 ft 1 ft X 3 ft 3 ft

Answer 1

we will sput the object into seperate parts we will take origin as reference 111 + + b ny2 = 0,9418 1 x3x2=3 ah? 3x2 = 6 2 Area = 7X01512 = 1,5767 Centroid Ā=22654 -0.4418 x 32b = 2 ft Who 3 +115 =4,5 6 +47 3K -642 Y 13 h = 3 st 1 - 01667 corpora Pix A4X4 - Xbar - A, X, + AX2 +A343 - A TA 2+A3 - A4 3.927 St = 3.992 ft P2310 A,Y, + A₂ Y₂ + A3Y - A4Y4 0.9014 ft 12 bar Ait Azt A3 A4 ing

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Answer 2

2.748 ft^4