Derive the system of differential equations describing the straight-line vertical motion of the coupled springs shown in equilibrium in FIGURE 4.6.4. Use the Laplace transform to solve the system when k, = 1, k = 1, k, 1, m, = 1, m, = 1 and x,(0) = 0, x(0) = -1, x(0) = 0, x(0) = 1.

Derive the system of differential equations describing the straight-line vertical motion of the coupled springs shown in equilibrium in FIGURE 4.6.4. Use the Laplace transform to solve the system when k, = 1, k = 1, k, 1, m, = 1, m, = 1 and x,(0) = 0, x(0) = -1, x(0) = 0, x(0) = 1.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Time and time related variables in engineering

Time is the event progression starting from past to present and then, future statistically. The time-related variable is any particular value in relation to time to assess its changes on a specified (XY) plane.

Question

14. Derive the system of differential equations describing the
straight-line vertical motion of the coupled springs shown in
equilibrium in FIGURE 4.6.4. Use the Laplace transform to solve
the system when k, = 1, k = 1, k, = 1, m, 1, m, =1 and
x(0) = 0, x(0) = -1, x(0) = 0, x(0) 1.
e
int
FIGURE 4.6.4 Coupled springs in Problem 14

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