2 Question For Solving 1 (54.66 KiB) Viewed 12 times
Question 14 The system shown below consists of a thin uniform rigid beam of mass m - 3 kg and length 1-1 m, supported by springs of stiffness k - 100 N/m and a point mass m2 - 2 kg. Note that the second moment of inertia of the beam about its centre is I = m,L2 kgm. 12 X1 X2 m2 mi k k 7 THE Ignoring gravity, and taking x4 and X2 as the displacement variable, which of the following are correct expressions of the kinetic (1) and potential (1) energies and mass (M) and stiffness (19 matrices of the system? O T=0.5x +1.5xį, V = 50x} +50xį o OM-). «-10 [ 1 0.5 = 0.5 3 50 0 K = T =0.5x + 0.5*1*2 + 1.5*, K = - [1.00 100 0 0 100 M -=[08] , V = 100x + 100x} 03 Question 15 5 points Save Answer The figure shows a typical two-degree-of-freedom system, where m-m and my-2m. The horizontal displacement of my and m2 is respectively denoted as xand x2 in the figure below. Assume the rollers are frictionless, so there is no damping in the system. The first frequency and first mode shape of the system is which of the following? । 2 k k W k WW ਹੀ । 2 HW 0ਘ, 5k/2m , #=[1, 2] 0 ਘ = km : $i = [1,1] 0ਘ, sk/2 , +1 =-z,1] 0 } = {* । * [-2,1]
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