A mass of 21.5 kg is vibrating freely at the end of 3 springs connected in parallel. The spring constants are 112.2 N/m, 412.8 N/m and 1051.5 N/m. Determine the frequency in Hz of the vibration. (Express answers to 2dp) Answer:

please wright by hand and step by step thank you

answer would be much appreciated

Q.2 Two springs, damper and a mass are attached to a rigid, weightless bar PQ as shown below. Write the equation of motion of the system using D'Alemberts principle. Find the natural frequency of vibration of the system. J6+ (kde) ds. C 0000 m

A disc of radius R and mass M is connected to two springs (spring constant = k) as shown in figure. If the disc rolls without slipping, then the natural frequency of vibration of the disc is k A R. R+a (a) 4k R 4k (b) 17 VM 3M R+a (c) 2k R+a (d) R V3M R V3M

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

vibrations please help

Consider the spring mass system shown in Figure Task 2b. It has a mass, m of 4 kg and the spring constants k1 = 5 N/m and k2 = 8 N/m. Determine the natural frequency of vibration of spring mass system inclined at an angle of 30⁰. Please aswarm with word.

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

Please solve this problem by showing the manual calculation and choose the correct answer(SUBJECT: mechanical vibrations)