Part a) consider the system shown in Figure Q1a. Assume that the cantilever beam has length L, is massless and is attached to the wall as shown in the figure. A mass M is attached at the tip and is supported by a spring with stiffness K. The spring is also connected to the midpoint of a massless pinned-pinned beam of length 2L, as shown in the figure. Assume E = 200 GPa, M = 10 kg, area moment of inertia of the two beams as I = 1000 mm4, C = 200 kg/s and L = 1 m. Determine the value of the spring stiffness K (in N/m) for the system to be critically damped. L C E, I L M www K2 X E, I Figure Q1a L

Part a) consider the system shown in Figure Q1a. Assume that the cantilever beam has length L, is massless and is attached to the wall as shown in the figure. A mass M is attached at the tip and is supported by a spring with stiffness K. The spring is also connected to the midpoint of a massless pinned-pinned beam of length 2L, as shown in the figure. Assume E = 200 GPa, M = 10 kg, area moment of inertia of the two beams as I = 1000 mm4, C = 200 kg/s and L = 1 m. Determine the value of the spring stiffness K (in N/m) for the system to be critically damped. L C E, I L M www K2 X E, I Figure Q1a L

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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