5-29 Locate the mass center of the right circular cone shown in Fig. portional to the distance from the xy-plane to point P. if the density p at any point P is pro- G

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.13P: Determine the dimensions of constants A and B far which the following equation is dimensionally...
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5-29 Locate the mass center of the right circular cone
shown in Fig.
portional to the distance from the xy-plane to point P.
if the density p at any point P is pro-
G
Transcribed Image Text:5-29 Locate the mass center of the right circular cone shown in Fig. portional to the distance from the xy-plane to point P. if the density p at any point P is pro- G
Expert Solution
Step 1

Consider a differential circular element of thickness dz at a thickness z from the xy plane as shown in the figure.

Mechanical Engineering homework question answer, step 1, image 1

Step 2

Understand that the density of the material is proportional to the distance from the xy plane.

Mechanical Engineering homework question answer, step 2, image 1

Where C is a constant.

Write the expression for the differential mass dm of these element.

Mechanical Engineering homework question answer, step 2, image 2

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