6-54. Locate the center of mass of the assembly. The assembly consists of a cylindrical center core, A, having a density of 7.90 Mg/m", and a cylindrical outer part, B, and a cone cap, C, each having a density of 2.70 Mg/m. 400 mm 400 mm 100 mm 600 mm 300 mm
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- Locate the center of mass z¯ of the assembly. The assembly consists of a cylindrical center core, A , having a density of 8.10 Mg/m3 , and a cylindrical outer part, B , and a cone cap, C , each having a density of 3.50 Mg/m3 . (Figure 1) Express your answer to three significant figures and include the appropriate units.L-length steel with a diameter at the wide end, twice the diameter at the narrow end determine the X and y coordinates of the center of mass of the bar in L. (The density of steel material is constant).A 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)
- Determine the volume of the solid obtained by rotating the area of Prob. 5.4 about (a) the x axis, (b) the y axis.ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴛʜᴇ ʜᴇᴀᴛ ᴛʀᴀɴꜱꜰᴇʀ ɪɴ ᴋᴊ ᴘᴇʀ ʜᴏᴜʀ ᴛʜʀᴏᴜɢʜ ᴀ ꜱᴏʟɪᴅ ʙʀɪᴄᴋ ᴡᴀʟʟ 7 ᴄᴍ, 3 ᴍ ʜɪɢʜ ᴀɴᴅ 219 ᴍᴍ ᴛʜɪᴄᴋ, ᴡʜᴇɴ ᴛʜᴇ ᴏᴜᴛᴇʀ ꜱᴜʀꜰᴀᴄᴇ ɪꜱ ᴀᴛ 5ᴄ ᴀɴᴅ ᴛʜᴇ ɪɴɴᴇʀ ꜱᴜʀꜰᴀᴄᴇ 17ᴄ, ᴛʜᴇ ᴄᴏᴇꜰꜰɪᴄɪᴇɴᴛ ᴏꜰ ᴛʜᴇʀᴍᴀʟ ᴄᴏɴᴅᴜᴄᴛɪᴠɪᴛʏ ᴏꜰ ᴛʜᴇ ʙʀɪᴄᴋ ɪꜱ 0.6 ᴡ/ᴍ-ᴋ.Locate the center of mass of the assembly shown. The conical frustum has a density of ρc = 8 Mg/m3, and the hemisphere has a density of ρh = 4 Mg/m3. There is a 25-mm-radius cylindrical hole in the center of the frustum.
- Half the cross section of the steel housing is shown in the figure. There are six 10-mm-diameter bolt holes around its rim. The density of steel is 8.10 Mg/m3 . The housing is a full circular part. Determine its mass.Determine the volume and the surface area of the solid obtained by rotating the area of Prob. 5.8 about (a) the x axis, (b) the y axis.The cylinder has a mass of 30 kg and is mounted on an axle that is supported by bearings at A and B. If the axle is turning at 40 rad/s (direction see figure) determine the vertical components of force acting at the bearings at this instant
- Locate the center of mass (x¯,y¯,z¯) of the homogeneous solid block. Take a = 2.0 ftLocate the centroid of the cross section below Hint: Cut the cross section into a rectangular shapes and determine thecentroids of the each rectangle. Use the formula AT (X) = A1 (x1) + A2(x2) + A3 (x3) to solve for x and AT (y)= A1(y1) + A2 (y2) + A3y3t o solve for Y. AT = A1+A2 + A3Locate the centroid of the rod.