5-49* A bracket is made of brass (y = 0.316 lb/in.) and aluminum (y = 0.100 lb/in.) plates as shown in Fig. P5-49. b. Locate the center of gravity of the bracket. Aluminum in. 9 in. 3 in. 5을 in. in. 3 in. 6 in. Brass 3 in, dia. hole in.
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Q: (Mechanics and Materials) Question 30: Find the centroid and moment of inertia
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- Using integration, locate the centroid of the area under the n-th order parabola in terms of b, h, and n (n is a positive integer). (b) Check the result of part (a) with Table 8.1 for the case n = 2.Small screws are used to fasten a piece of hardwood to the bracket that is formed from 1/20-in.-thick steel sheet metal. For steel, =0.283lb/in.3, and for hardwood, =0.029lb/in.3. Locate the center of gravity of the assembly.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 issue
- Locate the centroid y¯ of the area. Take b = 9 in , h = 10 in .(Figure 1) Express your answer to three significant figures and include the appropriate units.Two cylinders of diameter 1 m and one cylinder of diameter 2 m are placed symmetrically in a pit 3 m wide (2 m cylinder on top). Find all the contact tones (Surfaces are smooth). Weight of 1 m diameter cylinder = 150 N, weight of 2 diameter cylinder = 240 NA circular wooden log is floating in water. It has a diameter of 1.41m, length of 6.5m, and submerged at a depth of 0.37m. Determine the density(kg/m^3) of the log.
- The round handle of a faucet is affixed to a shaft that lets a valve to be open and closed every time the round handle is rotated. Give the radius of the handle if the shaft has a diameter of 1 cm and the MA of the machine is 8.A circular plate with radius r = 0.95 m lies next to a rectangular plate with base br = 0.78 m and height hr = 0.847 m which lies next to a triangular plate with base bt = 1.638 m and height ht = 0.995 m . Determine the common center of gravity in the y-direction of the circular and the rectangular plate if the plates are equally thick and are made of the same material.Show the derivation of the girth and longitudinalstresses of the thin-walled cylindrical container shownbelow. Say p is the internal pressure, d is the insidediameter of the container, and t is wall thickness.
- Determine the centroid of the quarter circle shown in Fig. P-706 whose radius is r.Show the derivation of the girth and longitudinalstresses of the thin-walled cylindrical container shownbelow. Say p is the internal pressure, d is the insidediameter of the container, and t is wall thickness. Seefigure 103.Find the centroid of the plates given below