*22-16. A block of mass m is suspended from two springshaving a stiffness of ki and k2, arranged a) parallel to eachother, and b) as a series. Determine the equivalent stiffnessof a single spring with the same oscillation characteristicsand the period of oscillation for each case.(a)(b)

Given: The mass of the block is m. The stiffness of the two springs is k1 and k2. Part (a) The…

Answered: *22-16. A block of mass m is suspended…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Derive the differential equation of motion for the system shown in its equilibrium position. Neglect the mass of link AB and assume small oscillations. Use the values m1=22 kg, m2=31 kg,k=800 N/m, c=163 N·s/m, a=340 mm, and b=610 mm and calculate the damping factor
A block of mass m hangs from a spring with a spring constant k. The block is initially held so that the spring is unstretched. If the natural circular frequency of the system is 10 radians/sec, how many cycles of vibration will the block experience in five seconds after it is released?
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The maximum permissible recoil distance of a gun is specified as 0.5 m. If the initial recoil velocity is to be between 8 m/s and 10 m/s, find the mass of the gun and the spring stiffness of the recoil mechanism. Assume that a critically damped dashpot is used in the recoil mechanism and the mass of the gun has to be at least 500 kg.
2) A massless bar of length L carrying a tip mass m is rigidly connected to a homogenous disk of radius R and mass m as shown below. The disk rolls without slipping on the ground. Note that gravity acts down and that a spring of stiffness k and a dashpot of constant c connect the center of the disk to an oscillating wall and a fixed one respectively. Determine the amplitude of response of the angle 0(t).
tion 2: a. Determine the differential equation of motion and find the natural frequency (w). Also establish the critical damping for the system shown in Fig. 2a E

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*22-16. A block of mass m is suspended from two springs having a stiffness of ki and k2, arranged a) parallel to each other, and b) as a series. Determine the equivalent stiffness of a single spring with the same oscillation characteristics and the period of oscillation for each case. (a) (b)