Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. 60° Thigh Ex Arm 60° Torso Leg x In the figure, (b) shows arrows of lengths rcg locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.)

Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. 60° Thigh Ex Arm 60° Torso Leg x In the figure, (b) shows arrows of lengths rcg locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.22P

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Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. Thigh O Arm Leg 60° 60° Torso a b In the figure, (b) shows arrows of lengths r, locating the center of gravity of each segment. Use the data below and the cg coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.) Segment Mass (kg) Length (m) (m) Arms 6.89 0.548 0.242 Torso 33.6 0.613 0.337 Thighs 14.1 0.376 0.145 Legs 7.50 0.350 0.227 HINT m %D m y cg E E
Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. HINT xc9 Y cg = a Segment Need Help? Arms Torso Thighs In the figure, (b) shows arrows of lengths rcg locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.) Legs 3 3 Read It 6.81 Mass (kg) Length (m) rcq (m) cg 33.6 14.1 60° 7.58 Watch It 0.548 0.613 b 0.370 0.350 0.242 0.337 0.149 y 0.227 Arm Thigh Torso 60° Leg x
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Consider the robotic arm shown below, made up of individual arms AB and BC. The weight of the arms AB and BC are each 160 N, and the resultant weight force is shown to act through each arm's center of gravity as shown. You may assume that the center of gravity is occurring along the midpoint of each arm's length. The robotic arm is picking up a package that weighs 40 N, and the 40 N weight force acts through the package's center of gravity at the location shown. ०८ b) 600 mm 160 N Bo 40° -600 mm 160 N 150 mm 20⁰ 40 N solve the following engineering physics problems with detailed explanations of every step. a) Consider the robotic arm AB. Calculate the moment arm of the individual arm's weight force with respect to the robotic arm's shoulder at point A. Report your answer in mm. Consider the robotic arm BC. Calculate the moment arm of the individual arm's weight force with respect to the robotic arm's shoulder at point A. Report your answer in mm. c) Consider the 40 N package. Calculate…
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4G O0: D1 9:24 P Flag question Consider for the part in the figure below, a = 112, b = 50 and c= 100. be 40 a 80 20 Lt----------- Dimensions in mm Analyze the part in order to calculate the coordinates of the centre of gravity in the (x, y, z) system of coordinates. It is assumed that the following process was following for the manufacturing process • Part 1(a cubic piece of dimension 33 x 50 x 60 is cut out of a Part 2 of dimensions 145 x 50 x 80 and then • Part 3 (triangular prism) is welded Part 2 Fill in the table below with coordinates of centers of respective parts in mm Part тт mm mm 1 Part тт mm тт 2 Part тт mm mm 3 The coordinates of the CG are respectively: mm y = mm mm Assume a density of 160 kg/m³ and calculate the total volume and the mass of the part. Volume = mass = kg Check