Figure below shows a rod with mass M = 100 kg, cross section area A = 10 cm². The rod is supported by 4 springs having stiffnesses of k = 1 MN/m. A tip mass with m = 120 kg is attached to the rod. Assume is the degree of freedom of the equivalent system. The Young's modulus, E, is not known. If the natural frequency of the equivalent mass-spring system is 180 Hz, determine the Young's modulus, E. Assume the length of the rod is L = 1 m. Find the nearest answer. 116 GPa 179 GPal 45 GPa 195 GPa 236 GPa E, A, M L m www. k k www.www. k wünt

Figure below shows a rod with mass M = 100 kg, cross section area A = 10 cm². The rod is supported by 4 springs having stiffnesses of k = 1 MN/m. A tip mass with m = 120 kg is attached to the rod. Assume is the degree of freedom of the equivalent system. The Young's modulus, E, is not known. If the natural frequency of the equivalent mass-spring system is 180 Hz, determine the Young's modulus, E. Assume the length of the rod is L = 1 m. Find the nearest answer. 116 GPa 179 GPal 45 GPa 195 GPa 236 GPa E, A, M L m www. k k www.www. k wünt

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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Consider the two-degrees-of-freedom mass-spring system below. Assume m₁ = 30 kg, m2 = 35 kg. If the second natural frequency of the system is 100 rad/s, the value of stiffness k is www. k₁=k k₂ = k k3= k 174.41 kN/m 107.38 kN/m 140.93 kN/m 39.24 kN/m 73.62 kN/m Next 000 00 Previous 4 x₁ (t) x₂ (t) m₁ m₂. mm
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An undamped spring/mass system, in which m = 8 slugs and the spring constant k = 16 lb/ft has a driving force f(t) = t^pi*t on [0,pi] Extend f(t) into the negative t-axis to obtain an odd function. Find the particular solution ??(?). (Note: f(t) is given as half of the period, p = π.)
F(1) Spring m. Ball Dashpot Find the motion of the mass-spring system with the driving force F(t) shown above for the given data. [Hint: Read Forced Oscillations notes.] e-2t, 0 2 y(0) = 1, y'(0) =-1.5.
Mechanical Engineering Question
Q2\ A circular disk of mass M and radius R is connected by a spring of modulus k as shown in the figure. If it is free to roll on a horizontal surface without slipping, find its natural frequency. R
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The figure shows a bar of mass M-4 Kg and length L-1 m, has a concentrated mass at the end of the bar of m= 4 kg. The bar is supported by a pin at O and three springs as shown. In the value k- 800 N/m Find the natural frequency of the system. 2k O 17.0 rad/s O 14.4 rad/s O 10.9 rad/s 20.3 rad/s elle 00000 + 4 1 2 k > bar of mass M mass m
(machine dynamıc) Mass M is attached to the end of the rod of length L with mass m given in the figure on the right and it is connected to a fixed support with a spring with a coefficient of k.a- Obtain the expression that gives the natural frequency of the system for the situation in the figure.b- Explain how the natural frequency of the system is affected if the spring coefficient increases and/or decreases as 0.5k, 2k, 5k.
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