In some circumstances when two parallel springs, with constants ky and kg, support a single mass, the effective spring c

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In Some Circumstances When Two Parallel Springs With Constants Ky And Kg Support A Single Mass The Effective Spring C 1 (44.11 KiB) Viewed 109 times

In some circumstances when two parallel springs, with constants ky and kg, support a single mass, the effective spring constant of the System k is expressed as: k 48 h kitka A mass weighing 20 lb. stretches one spring 5 times as much as it stretches a second spring. The springs are attached to a common rigid support, and the mass is attached in the double- spring configuration, as shown in the figure. The 20-lb mass stretches the entire System by 2 inches, and after the System is set in motion at t=0, it is known that t = 7/3/16 s, the spring is fully compressed to a distance of V3/12 ft from the equilibrium point. k 20 lb A-Determine the value of the effective total constant B-Determine the values of the constants k_1 and k_2 C-Propose a difference equation and the conditions that allow finding the equation of motion of the mass if it is initially released from the equilibrium position with an initial non-zero velocity D-Find the equation of motion of mass E-Determine the initial speed and direction