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find the spring constant. we have mg ka -() et weight W equals the product of mass m and the acceleration due to due to gravity is 32 Rec. W-mg 16 tal equation representing this system is

find the spring constant. we have mg ka -() et weight W equals the product of mass m and the acceleration due to due to gravity is 32 Rec. W-mg 16 tal equation representing this system is

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Provide a MATLAB code using laplace and ilaplace commands that will be able to solve the application of second-order differential equation simple harmonic motion word problem: Assume an object weighing 2 lb stretches a spring 6 in Find the equation of motion if the spring is released from the equilibrium position with an upward velocity of 16 ft/sec. What is the period of the motion? Solution We finst need to find the spring constant. We have mg ka -() We aso know thet weight W equals the product of mass m and the acceleration due to gravity s. In Englih unts, the acceleration due to grovity is 32 sec. Wmg 2- m(32) 16 Thus, the diferential eqution representing this system is Multiplying through by 16, we get + 6lr0, which can also be writen in the form + (z- 0. This equation has the general solution () = , con8) + ain(). The mos was released from the equlibrium postion, so r0) -0, and it had an inital upward velocity of 16 isec, oz 10) - -16 Applying these intial conditions to solve for e and e gves (0) - -2la . The period of this motion is sec. I've provided the general solution and the correct answer for the problem. The answer must be correct and shown in MATLAB's command window. Please do a MATLAB simulation and provide screenshots if the code works. Thank you.
Transcribed Image Text:Provide a MATLAB code using laplace and ilaplace commands that will be able to solve the application of second-order differential equation simple harmonic motion word problem: Assume an object weighing 2 lb stretches a spring 6 in Find the equation of motion if the spring is released from the equilibrium position with an upward velocity of 16 ft/sec. What is the period of the motion? Solution We finst need to find the spring constant. We have mg ka -() We aso know thet weight W equals the product of mass m and the acceleration due to gravity s. In Englih unts, the acceleration due to grovity is 32 sec. Wmg 2- m(32) 16 Thus, the diferential eqution representing this system is Multiplying through by 16, we get + 6lr0, which can also be writen in the form + (z- 0. This equation has the general solution () = , con8) + ain(). The mos was released from the equlibrium postion, so r0) -0, and it had an inital upward velocity of 16 isec, oz 10) - -16 Applying these intial conditions to solve for e and e gves (0) - -2la . The period of this motion is sec. I've provided the general solution and the correct answer for the problem. The answer must be correct and shown in MATLAB's command window. Please do a MATLAB simulation and provide screenshots if the code works. Thank you.
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