10-100 A composite body consists of a cylinder attached to a rectangular block as shown in Fig. río-98. Determine the moment of inertia of the composite body with respect to the x-axis shown on the figure if the body is made of cast iron (p = 7.37 Mg/m³). 200 mm 300 mm Steel 75 mm Brass 175 mm 375 mm Fig. P10-98

10-100 A composite body consists of a cylinder attached to a rectangular block as shown in Fig. río-98. Determine the moment of inertia of the composite body with respect to the x-axis shown on the figure if the body is made of cast iron (p = 7.37 Mg/m³). 200 mm 300 mm Steel 75 mm Brass 175 mm 375 mm Fig. P10-98

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 8.40P: By integration, find the centroid of the surface of the hemisphere. Compare your result With Table...

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(a) Show that the polar radius of gyration kO of the annular area shown is approximately equal to the mean radius Rm= (R1 + R2)/2 2 for small values of th thickness t= R2 - R1. (b) Determine the percentage error introduced by using Rm in place of kO for values of t/ Rm respectively equal to 1, 1/2 and 1/10.Fig. P9.19
9-32 For the Z cross section shown in the figure, first determine area moments of inertia Iy, Ix, and Iyz, then obtain the directions of the principal axes and principal moments of inertia.
By joining two equal cones, the similar shaped object has a side length u cm and = 90⁰. The mass of this object with respect to the ysymmetry axis is kgm2 until its moment of inertia? (Ρ = 2700kg / m3) the volume of a cone is (1/3) πR2h and its mass moment of inertia = (3/10) mR2 with respect to its axis of metrics. u = 46
Consider a circular, semi-circular, and a quarter-circular steel plate, whose moment of inertia about the z-axis are Izc, Izs, and Izq, respectively. They have equal mass densities and thicknesses. Which of the following is correct? a. Izc=Izs greater than Izqb. Izcgreater thanIzs=Izqc.Izcgreater thanIzsgreater thanIzq
Find the Moment of Inertia of the plate as shown in figure, passing through its centroid with reference to Y -Y axis. Where b1 = 55 mm, d1=110 mm, b2=160 mm, d2=30 mm, b3=65mm, d3=24mm. The value of is (unit in mm) = ______________ Answer for part 1 The value of is (unit in mm) = ______________ Answer for part 2 The value of total for the given plate is (unit in mm4) =________________ Answer for part 3
The beam AB has a moment of inertia I = 475 in4 and rests on the smooth supports at its ends. A 0.75-in.- diameter rod CD is welded to the center of the beam and to the fixed support at D. If the temperature of the rod is decreased by 150°F, determine the force developed in the rod. The beam and rod are both made of A-36 steel.
27 - The homogeneous, planar plate of constant thickness in the figure the coordinates of the centroid M(Xm,Ym) of the surface area, Find the team (x,y). t= 3 cm and a= 9 cm. Find the coordinate (Xm) of the center of gravity of this planar plate on the x-axis.a) 9B) 12C) 15D) 10E) 18
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.
ᴀ ꜱʜᴀꜰᴛ ꜱᴛᴇᴘᴘɪɴɢ ꜰʀᴏᴍ 3" ᴛᴏ 4.5" ʜᴀꜱ ᴀ ꜰɪʟʟᴇᴛ ʀᴀᴅɪᴜꜱ ᴏꜰ 0.375". ᴄᴏᴍᴘᴜᴛᴇ ᴛʜᴇ ᴍᴀxɪᴍᴜᴍ ʙᴇɴᴅɪɴɢ ꜱᴛʀᴇꜱꜱ, ɪɴ ᴘꜱɪ, ɪꜰ ɪᴛ ɪꜱ ᴜɴᴅᴇʀ ᴀ ʙᴇɴᴅɪɴɢ ᴍᴏᴍᴇɴᴛ ᴏꜰ 19291 ʟʙ-ɪɴ. ʀᴏᴜɴᴅ ʏᴏᴜʀ ᴀɴꜱᴡᴇʀ ᴛᴏ 4 ꜱɪɢɴɪꜰɪᴄᴀɴᴛ ꜰɪɢᴜʀᴇꜱ.
The shaded area has the following properties: Ix=1.26x10^6 mm^4, Iy=6.55x10^5 mm^4, Pxy=-1.02x10^5 mm^4 Determine the maximum moment of inertia and the minimum moment of inertia
A thin rectangular plate is welded on the center of the top of a circular cylinder. The mass of the cylinder is 5kg and the mass of the triangular plate is 2kg. Note that the x-axis is located on the centroid of the cylinder. Which of the following is closest to the moment of inertia of the composite object about the x-axis?a. 0.712kgm^2b.0.473 kgm^2c.0.1074 kgm^2d. 0.0401 kgm^2Which of the following is closest to the radius of gyration of the composite object about the x-axis?a. 1238 mb. 0.0757 mc. 0.260 md. 0.319
10 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 24 cm, b= 36 cm. In which of the following options are the coordinates of the CD part of the homogeneous wire in the x, y and z axes correctly given?A) (18 ; 24 ; 0)B) (18 ; 12 ; 24)C) (18 ; 12 ; 0)D) (18 ; 24 ; 24)E) (18 ; 24 ; 12)