Determine the center of mass of the object • Shaded part – included in the system • Unshaded part – not included in the system Mass – corresponds to the no. of boxes occupied • X- centroid of the shapes 36 34 33 32 31 30 20 20 27 26 25 24 23 22 21 20

Problem 1 Find the coordinates, (x,y), of the centroid of the shaded region with respect to the given coordinate system. Positive xy-axes are labeled. By Symmetry X = 18cm 12 18 6 12 12-12- (2 dimensions in cm 4 12 12 6 6 18 X

19:49 wamap.org Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. ул C 2013 Michael Swanbom cc 130 f a Variable Value 38 cm 18 cm 74 cm a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. a b C The x coordinate of the centroid is x cm. The y coordinate of the centroid is y The moment of inertia about the x' axis going through the centroid is I' cm4. cm. The moment of inertia about the y' axis going through the centroid is I' cm4.

Find a center of mass of a thin plate of density 8=2 bounded by the lines y = x and x = 0 and the parabola y = 30- -x² in the first quadrant. x=y= (Type simplified fractions.)