A block-spring system has a maximum restoring force Fmax amplitude of the motion is A = 0.01 m and the mass of the block is m = 400 g then the angular frequency w is equal to 0.1 N. If the %3D O 20 rad/s 2.5 rad/s O 10 rad/s O 1.25 rad/s O 5 rad/s A mass-spring svS

A block-spring system has a maximum restoring force Fmax amplitude of the motion is A = 0.01 m and the mass of the block is m = 400 g then the angular frequency w is equal to 0.1 N. If the %3D O 20 rad/s 2.5 rad/s O 10 rad/s O 1.25 rad/s O 5 rad/s A mass-spring svS

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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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

A block-spring system has a maximum restoring force Fmax = 0.1 N. If the
amplitude of the motion is A = 0.01 m and the mass of the block is m= 400 g
then the angular frequency w is equal to
O 20 rad/s
2.5 rad/s
O 10 rad/s
O 1.25 rad/s
O 5 rad/s
A mass-sr

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For the mechanical system shown, a- Find the equivalent mass, equivalent spring stiffness and equivalent damping coefficient when x (the displacement of the 2 kg block) is used as the generalized coordinate. b- Derive the equation of motion of the system in terms of equivalent system parameters (equivalent mass, equivalent spring stiffness and equivalent damping coefficient). 3000 N/m 2 kg 200 N.s/m /=0.04 kg-m² r = 10 cm 1000 N/m 1 kg I' 400 N.s/m ial
The following data is given for the spring-mass-damper system shown in Figure 1: • K1 = 250 N/m, K2 = 350 N/m • C1 =150 N/ (m/sec), C2 = 200 N/ (m/sec) • m= (25 + 24) kg Detemine: i. The undamped natural frequency. ii. The damping ratio. The damped natural frequency. iv. Response of the system x (t)for given initial conditions: xo = 0.005 m and vo = 5 m/sec. ii. x(t) k 1 k 2 mow m C1 C2 Figure 1
m, l k 0 0 M g
)find the foequency of motion. amplitude, pesiod f
solve please by lagrang method to find the eqation of motion and to find the frequencies and mode, please indetail. a : 255 mm b : 100 mm L : 400 mm M : 1.1 kg m : 0.995 kg k : 5 N/mm
help pleasee..thank you in advance
PLs see the question in the attached file.
THE SUBJECT IS VIBRATION ENGINEERING
Q2: Find the E.O.M of the system shown in the fig by using newtons law, and then find the total forced displecment if yo = 0.001m and the time of one period is 0.125 s and w₁ = 45.25 rad / sec body 1.6 m/s +
Consider the double mass/double spring system shown below. - click to expand. Both springs have spring constants k, and both masses have mass m; each spring is subject to a damping force of Ffriction -cz' (friction proportional to velocity). We can write the resulting system of second-order DEs as a first-order system, t' (t) = Au(t), with = (₁, 21, 22, 2₂) I For values of k = 4, m = 1 and c = 1, the resulting eigenvalues and eigenvectors of A are -0.039-0.248i 0.813 A₁2=-0.5±3.2i, v₁ = 0.024 +0.153i -0.502 -0.134-0.302i 0.409 -0.2160.489 0.661 (a) Find a set of initial displacements (0), 2(0) that will lead to the fast mode of oscillation for this sytem. Assume that the initial velocities wil be zero. A3,4 -0.5± 1.13i, z = and (2₁ (0), ₂(0)) = Enter your answer using angle braces, (and). (b) At what frequency will the masses be oscillating in this mode? Frequency rad/s
Pls see the question in the attcahed image and solve using either Newton’s method or Lagrange Energy method .
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