Question 7A tool machine with mass m = 1000 kg and moment of mass inertia Jo = 300 kg/m² issupported on elastic supports, as shown in the figure. If the stiffness of the supports are givenby k₁ = 4000 N/mm and k₂ = 3000 N/mm, and the supports are located at l1 = 0,4 mand 12 = 0,7 m, determine the natural frequencies and modal shapes of the machine tool.000--m, Jo12-ell8k₂

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Answered: Question 7 A tool machine with mass m =…

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 machine tool with mass m = 1000 kg and mass moment of inertia JO = 300 kg/m² rests on elastic supports, as shown in the figure. If the stiffnesses of the supports are given by k1 = 4000 N/mm and k2 = 3000 N/mm, and the supports are located at 11 = 0.4 m and 12 = 0.7 m, determine the natural frequencies and modal forms of the machine -tool 88k₁ 41 m, Jo 12 8k₂
The 20-1b rectangular plate has a natural period of vibration t = 0.4 s, as it oscillates around the axis of rod AB. Neglect the mass of the rod. Suppose that a = 3 ft, b = 5 ft. (Figure 1) Figure A 1 of 1 Part A Determine the torsional stiffness k of the rod, measured in lb. ft/rad. Express your answer in pound-feet per radian to three significant figures. ΠΑΣΦ k = Submit Provide Feedback ↓↑ vec Request Answer lb-ft/rad
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