Consider an inclined bar made of two sections of length L₁ connected to a spring of constant k₁ and length L₂ connected

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Consider An Inclined Bar Made Of Two Sections Of Length L Connected To A Spring Of Constant K And Length L Connected 1 (144.5 KiB) Viewed 94 times

Consider an inclined bar made of two sections of length L₁ connected to a spring of constant k₁ and length L₂ connected to a damper of constant c₁ such that the co-linear sections is initially at a rotation of fo to the horizontal that is connected to a pivot and then allowed to rotate by a small clockwise angle as shown below. C1 L2 kı L₁ 00 m L3 k3 L5 L4 Attached perpendicular to the intersection of sections L₁ and L2 is another section of length L3 to which is attached at its end point a rectangular planar mass of mass m with a breadth of b and a width of w. When the mechanism rotates by a clockwise angle a wire rope connected to the center-of-mass of the planar rectangle pulls a spring of spring constant k3. Considering the above system, determine the following information: d²0 1.1 The equation of motion of the rotating rod in the form meqdte + Ceq dt + keq in (15) terms of the available information using kinematics and Newtons equations; 1.2 = The natural angular frequency wn and damping factor of the rotating rod if (3) 0 + 25w₁0+ w²₂0 = 0 by manipulating the equation of motion if L₁ = 0.400 m, L2 = 0.550 m, L3 = 0.720 m, L4 = 0.630 m, L5 0.420 m, k₁ = 800 N/m, k3 = 2450 N/m, c₁ = 450 Ns/m, b = 0.065 m, w = 0.037 m, and 00 respectively. = 22° W b X