Figure Q1 shows two carts of different masses connected by three springs. ki, k2 and kz are the spring coefficients, respectively. mį and m2 are the mass of the system while x, and x2 are the displacement of two carts, respectively. (a) Draw the free body diagram for each cart to show the force equation for every cart. (b) Write down the govening differential equation for each cart. (c) Determine the overall transfer function, X2/x1 of the system.
Figure Q1 shows two carts of different masses connected by three springs. ki, k2 and kz are the spring coefficients, respectively. mį and m2 are the mass of the system while x, and x2 are the displacement of two carts, respectively. (a) Draw the free body diagram for each cart to show the force equation for every cart. (b) Write down the govening differential equation for each cart. (c) Determine the overall transfer function, X2/x1 of the system.
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Transcribed Image Text:X2
k
k2
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Figure Q1
Transcribed Image Text:Figure Q1 shows two carts of different masses connected by three springs. ki, kɔ and kz are
the spring coefficients, respectively. mị and m2 are the mass of the system while x1 and x2
are the displacement of two carts, respectively.
(a)
Draw the free body diagram for each cart to show the force equation for every cart.
(b)
Write down the govening differential equation for each cart.
(c)
Determine the overall transfer funetion, X2/x1 of the system.
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