Consider an adult with 70 kg mass and 1.70 m height, seated on the floor, with crossed arms and outstretched legs, as shown in the figure. It is not very easy to remain in this posture during a long time. The figure shows the lateral cut, and the table gives the x and y coordinates of the center of gravity of some segments, as well as the respective masses. The C.G. of head and of neck-trunk-crossed arms is vertically aligned at a distance of 81 cm from the sole of the feet.

Consider an adult with 70 kg mass and 1.70 m height, seated on the floor, with crossed arms and outstretched legs, as shown in the figure. It is not very easy to remain in this posture during a long time. The figure shows the lateral cut, and the table gives the x and y coordinates of the center of gravity of some segments, as well as the respective masses. The C.G. of head and of neck-trunk-crossed arms is vertically aligned at a distance of 81 cm from the sole of the feet.

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.100P: The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness...

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Consider an adult with 70 kg mass and 1.70 m height, seated on the floor, with crossed arms and outstretched legs, as shown in the figure. It is not very easy to remain in this posture during a long time. The figure shows the lateral cut, and the table gives the x and y coordinates of the center of gravity of some segments, as well as the respective masses. The C.G. of head and of neck-trunk-crossed arms is vertically aligned at a distance of 81 cm from the sole of the feet. (a) Find the coordinates xA and yA of the C.G. of the set head-neck-trunk- crossed arms. (b) Locate the coordinates xg and yg of the C.G. of the set thigh-legs-feet. (c) Calculate the coordinates xc.G. and yc.G. of C.G. of : this person's body and explain why we do not feel comfortable in this posture. 81 cm Coordinates of C.G. Parts of body x (ст) y (cm) Mass (kg) Head 10.0 77.5 4.8 Neck-trunk-crossed arms 10.0 36.0 41.1 Thigh (both) Leg (both) Feet (both) 19.0 10.0 15.0 60.0 10.0 6.7 88.0 10.0 2.4
A solid consists of a cylinder and a hemisphere of equal radius fixed base to base. Find theratio of the radius to the height of the cylinder, so that the solid has its centre of gravity atthe common face. Hint. For stable equilibrium, the centre of the body should be below the common face ormaximum lie on it. So take the centre of gravity of the body at a distance (a) from thebottom of the hemisphere.