QUESTION 1 Consider an inclined bar made of two sections of length L₁ connected to a spring of constant ki and length L₂

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Question 1 Consider An Inclined Bar Made Of Two Sections Of Length L Connected To A Spring Of Constant Ki And Length L 1 (73.15 KiB) Viewed 54 times

QUESTION 1 Consider an inclined bar made of two sections of length L₁ connected to a spring of constant ki and length L₂ connected to a damper of constant c, such that the co-linear sections is initially at a rotation of 0 to the horizontal that is connected to a pivot and then allowed to rotate by a small clockwise angle as shown below. L2 k₁ L₁ Y L3 k3 L5 LA 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 ką. Considering the above system, determine the following information: 1.1 1.2 The equation of motion of the rotating rod in the form med +Cq+kein (15) terms of the available information using kinematics and Newtons equations; The natural angular frequency , and damping factor of the rotating rod if (3) 0 + 25w₁0 + ²0 = 0 by manipulating the equation of motion if L₁ = 0.400 m. 800 N/m, = 0.037 m, and 0o = 22° = L2 0.550 m. La = 0.420 m, k₁ = 0.720 m, L₁= 0.630 m. Ls k3 = 2450 N/m, c₁ = 450 Ns/m, b = 0.065 m, w respectively. Total Marks: [18] 00 0 W b