5-52 A cylinder with a conical cavity and a hemispheri- cal cap is shown in Fig. P5-52. Locate the centroid of the composite volume if R = 200 mm, and h = 250 mm. R
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- Determine the centroid of the quarter circle shown in Fig. P-706 whose radius is r.Determine the centroid of the surface shown in the figure below in two ways: The. Using a vertical differential element of dx thickness; B. By double integration The chart should contain all the information necessary to understand the issueART. 35 CENTROIDS AND CENTERS OF GRAVITY BY INTEGRATION 3.8, Determine the coordinates of the centroid of the sh?ded area of Fig. P3-8. The equation of the curve is X = 4y.
- Locate the centroid of plane area shown in Fig. P7-12A cylinder has a conical cavity and is topped by a hemispherical cylinder, such as as indicated in the figure. a) Locate the centroid of the composite volume if R = 200 mm and h = 250 mm. b) Locate the center of mass of the composite volume if the cylinder is made of brass (ρ = 8750 kg / mᶟ) and the finish is made of aluminum (ρ = 2770 kg / mᶟ)Find the centroid of the following figure, explain the procedure used to obtain it, step by step
- For what uniform rotation rate in r/min about axis C willthe U-tube in Fig. take the confi guration shown? Thefl uid is mercury at 20 ° C.Consider an adult of 70.0 kg mass and 1.95 m tall sitting on the floor, with arms crossed and legs extended as illustrated in the figure. It is not very easy to stay in this pose for a long time. The figure shows a sagittal section (dashed line) and the attached table provides the x and y coordinates of the center of gravity of some segments, as well as the respective masses. The center of gravity of the head and arms crossed with the neck and trunk are aligned vertically to the paramedial line (vertical axis) at a distance of 81.0 cm from the plantar part of the foot.A piece of steel wire, which is 3 m long, and of 1 mm diameter hangs vertically from the ceiling. A 5 kg mass, made from iron, (density = 7,9 x 103 kg.m-3 ) is attached to the free end. Find the tension in the wire when the mass is completely submerged in the water. (Density of water = 1 000 kg.m-3 )
- A ship of displacement 36000 tonne carries oil fuel in four tanks 16.0 m long and 6.0 m broad, the tanks arranged with their length in the fore and aft direction. The specific gravity of the oil is 0.84, and the density of seawater inwhich the ship is floating is 1020 kgm-3. For a ship of this size, the metacentric height is at least 500 mm. What is the reduction of the metacentric height of the ship because of the oil that is contained in the tanks and how serious is this reduction? Please discuss further your conclusions.Find the centroid of the plates given belowConsider a homogeneous right circular cylinder of lengthL , radius R , and specifi c gravity SG =0.5, fl oating in water(SG = 1). Show that the body will be stable with its axishorizontal if L / R > 2.0.