Answered: From the rectangular area shown a…

From the rectangular area shown a semi-circle of radius 4 cm is removed. Locate the centroid, (C), of the remaining area. [Ans. C: (3.70m, 0)]

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 8.88P: Compute the surface area of the axi-symmetric domed structure.

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Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

100%

" Centroids "

from the Book Engineering Mechanics Statics and Dynamics by Ferdinand Singer.

I think the solution is like the one in the second picture, i just cannot get the right answer in the answer key given please help me thankyou!

I think the one that is in the answer key was the Xbar (X̅) and Ybar ( ȳ ).

From the rectangular area shown a semi-circle of radius 4 cm is removed. Locate the
centroid, (C), of the remaining area.
[Ans. C: (3.70m, 0)]
y
6m
X
X
4cm
6m
6m

722.) Locate the centroid of the shaded orea in Fig. P-722 created
by cutting u semicicle of diometer r from a quarter cıncle of
radius r.
Tre
Tr
Tr - r% - %2
8.
T* -
gr,--- 24 r.
12T
- 0.637 r
8.
g (1%X*%) -(T%)(%)
Tr.
r% - Tr%
16r3 - 3Tr3
T% -
48
= 6.575 r3
0.349r
6.575r.
6T

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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