tailieunhanh - Engineering Mechanics Statics - Examples Part 16

Tham khảo tài liệu 'engineering mechanics statics - examples part 16', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Engineering Mechanics - Statics Chapter 10 dp1 -2 asm - n dp2 dpi Qp1 deg dp2 deg Problem 10-89 The area of the cross section of an airplane wing has the listed properties about the x and y axes passing through the centroid C. Determine the orientation of the principal axes and the principal moments of inertia. Solve using Mohr s circle. Given Ix 450 in4 4 Iy 1730 in4 4 -xy 138 in Solution R Ix -x Iy 2 Ĩ 2 Ixy Imax Imin Ix Iy . 2 Ix Iy . 2 4 R in4 _ . Imax x 10 in Imin 435 in 1052 2007 R. C. Hibbeler. Published by Pearson Education Inc. Upper Saddle River NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced in any form or by any means without permission in writing from the publisher. Engineering Mechanics - Statics Chapter 10 lasin fM 2 V R dpi - dp2 - dpi 90 deg dpi - deg ep2 - deg Problem 10-90 The right circular cone is formed by revolving the shaded area around the x axis. Determine the moment of inertia lx and express the result in terms of the total mass m of the cone. The cone has a constant density p. Solution m- ch f 2 . p n x I dx - - h pn r2 V h 3 J0 lx ch 3m nhr Jo dx - Ỷ0 m r lx - m r2 x 10 Problem 10-91 Determine the moment of inertia of the thin ring about the z axis. The ring has a mass m. 1053 2007 R. C. Hibbeler. Published by Pearson Education Inc. Upper Saddle River NJ. All rights reserved. This material is protected under all copyright laws as they currently exist. No portion of this material may be reproduced in any form or by any means without permission in writing from the .