Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
PROBLEM 5.140
Determine by direct integration the centroid of the area shown. Express
your answer in terms of a and h.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.141
Determine by direct integration the centroid of the area shown.
PROBLEM 5.142
The escutcheon (a decorative plate placed on a pipe where
the pipe exits from a wall) shown is cast from brass.
Knowing that the density of brass is 8470 kg/m
3
,
determine the mass of the escutcheon.
PROBLEM 5.142 (Continued)
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.143
Determine the reactions at the beam supports for the given loading.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.144
A beam is subjected to a linearly distributed downward load
and rests on two wide supports BC and DE, which exert
uniformly distributed upward loads as shown. Determine
the values of w
BC
and w
DE
corresponding to equilibrium
when
600
A
w
N/m.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.145
A tank is divided into two sections by a 1 1-m square gate that is
hinged at A. A couple of magnitude 490 N · m is required for the
gate to rotate. If one side of the tank is filled with water at the rate of
0.1 m
3
/min and the other side is filled simultaneously with methyl
alcohol (density
ma
789 kg/m
3
) at the rate of 0.2 m
3
/min,
determine at what time and in which direction the gate will rotate.
PROBLEM 5.145 (Continued)
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.146
Determine the y coordinate of the centroid of the body shown.
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
PROBLEM 5.147
An 8-in.-diameter cylindrical duct and a 4 8-in.
rectangular duct are to be joined as indicated.
Knowing that the ducts were fabricated from the
same sheet metal, which is of uniform thickness,
locate the center of gravity of the assembly.
PROBLEM 5.148
Three brass plates are brazed to a steel pipe to form the flagpole
base shown. Knowing that the pipe has a wall thickness of 8 mm
and that each plate is 6 mm thick, determine the location of the
center of gravity of the base. (Densities: brass 8470 kg/m3;
steel 7860 kg/m3.)
