A video camera, of mass 2kg, is mounted on the top of a bank building for surveillance. The video camera is fixed at one end of a tubular aluminium rod whose other end is fixed to the building as shown in the figure below. The wind-induced a force acting on th video camera, f(t), which is found to be harmonic with, f(t) = 25cos 75t N. Determine the circular cross-sectional dimension of t aluminium tube if the maximum amplitude of vibration of the video camera is to be limited to 0.005m or X ≤ 0.005m. Given that the equivalent stiffness of the tubular aluminium rod is k = 31, and the moment of inertia of the tube is I = §dt(d² + t²) where d, t and I are the diameter, thickness, and length of the tube, respectively. Video num
A video camera, of mass 2kg, is mounted on the top of a bank building for surveillance. The video camera is fixed at one end of a tubular aluminium rod whose other end is fixed to the building as shown in the figure below. The wind-induced a force acting on th video camera, f(t), which is found to be harmonic with, f(t) = 25cos 75t N. Determine the circular cross-sectional dimension of t aluminium tube if the maximum amplitude of vibration of the video camera is to be limited to 0.005m or X ≤ 0.005m. Given that the equivalent stiffness of the tubular aluminium rod is k = 31, and the moment of inertia of the tube is I = §dt(d² + t²) where d, t and I are the diameter, thickness, and length of the tube, respectively. Video num
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![A video camera, of mass 2kg, is mounted on the top of a bank building for surveillance. The video camera is fixed at one end of a
tubular aluminium rod whose other end is fixed to the building as shown in the figure below. The wind-induced a force acting on the
video camera, f(t), which is found to be harmonic with, f(t) = 25cos75t N. Determine the circular cross-sectional dimension of the
aluminium tube if the maximum amplitude of vibration of the video camera is to be limited to 0.005m or X ≤ 0.005m.
3EI
Given that the equivalent stiffness of the tubular aluminium rod is k = 37, and the moment of inertia of the tube is
I = dt(d² + t²) where d, t and I are the diameter, thickness, and length of the tube, respectively.
Video camera
Focos out
F
Building
0.5 m
▬▬▬▬▬▬▬▬▬
Tubular aluminum rod](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa11f044b-965e-49b4-aa0d-5b775ca725d3%2Fc529a343-95f0-4225-ba2d-ff809a0253e0%2Fwlgzol9_processed.png&w=3840&q=75)
Transcribed Image Text:A video camera, of mass 2kg, is mounted on the top of a bank building for surveillance. The video camera is fixed at one end of a
tubular aluminium rod whose other end is fixed to the building as shown in the figure below. The wind-induced a force acting on the
video camera, f(t), which is found to be harmonic with, f(t) = 25cos75t N. Determine the circular cross-sectional dimension of the
aluminium tube if the maximum amplitude of vibration of the video camera is to be limited to 0.005m or X ≤ 0.005m.
3EI
Given that the equivalent stiffness of the tubular aluminium rod is k = 37, and the moment of inertia of the tube is
I = dt(d² + t²) where d, t and I are the diameter, thickness, and length of the tube, respectively.
Video camera
Focos out
F
Building
0.5 m
▬▬▬▬▬▬▬▬▬
Tubular aluminum rod
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