What are (a) the x coordinate and (b) the y coordinate of the center of mass for the uniform plate shown in the figure if L = 5.0 cm? 3L 4L 2L 2L 4L 2L TL ·x
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- Determine the x- and y-coordinates of the mass center of the plate of uniform thickness t = 0.20 in. The plate has a density that varies accoring to p = Po 10 (1 + 2/6). Answers: x = y = 16.9 x = ky² b=27" in. 17" Thickness t ! in.4. A machine part consists of a thin, uniform 4.00-kg bar that is 1.50 m long, hinged perpendicular to a similar vertical bar of mass 3.00 kg and length 1.80 m. The longer bar has a small but dense 2.00-kg ball at one end (see figure). a. Find the position of the center of mass of the top bar relative to the hinge. Write out its x- and y-components. b. Find the position of the center of mass of the vertical bar relative to the hinge. Write out its x- and y-components. c. Find the center of mass of the ball relative to the hinge. Write out its x- and y-components. d. Use your answers to parts (a)-(c) to find the center of mass of the entire machine part relative to the hinge. Write out its x- and y-components. -1.50 m- 4.00 kg Hinge 3.00 kg 1.80 m 2.00 kgA uniform plate of height 0.970 m is cut in the form of a parabolic section. | y IV The lower boundary of the plate is defined by: y =0.600x². Find the distance from the rounded tip of the plate to the center of mass. Submit Answer Tries 0/12
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