1-3. (a) Write a set of state equations for the mechanical system shown in Fig. 1-P3. The applied force is f(t), the block has mass M, the spring constant is K, and the coefficient of viscous friction is B. The displacement of the block, y(t), is measured from the equilibrium position with no force applied. vor M f(t) B y(1) Figure 1-P3 21 (b) Draw a block diagram (or signal flow graph) for the system. (c) Let M 1 kg, K = 2 N/m, B = 2 N/m/sec, and determine the stat transition matrix (1). (d) If y(0) 0.2 m, (0) = 0, and f(t) = 2€-2 N for t0, determine yC and y(t) for 1 > 0.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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(b) Find the state transition matrix p() if R = 3, L = 1 H, C = F.
(c) If v.(0) = 0, i,(0) = 0, and e(t) is as shown, determine v(t) and i(t)
for 20.
1-3. (a) Write a set of state equations for the mechanical system shown in. Fig.
1-P3. The applied force is f(t), the block has mass M, the spring constant
is K, and the coefficient of viscous friction is B. The displacement of the
block, y(t), is measured from the equilibrium position with no force
applied.
f(1)
B
y(1)
Figure 1-P3
(b) Draw a block diagram (or signal flow graph) for the system.
(c) Let M
1 kg, K = 2 N/m, B = 2 N/m/sec, and determine the state
transition matrix (1).
(d) If y(0) = 0.2 m,
and y(t) for t≥0.
(0) = 0, and f(t) = 2€-2 N for 20, determine y(t)
Transcribed Image Text:(b) Find the state transition matrix p() if R = 3, L = 1 H, C = F. (c) If v.(0) = 0, i,(0) = 0, and e(t) is as shown, determine v(t) and i(t) for 20. 1-3. (a) Write a set of state equations for the mechanical system shown in. Fig. 1-P3. The applied force is f(t), the block has mass M, the spring constant is K, and the coefficient of viscous friction is B. The displacement of the block, y(t), is measured from the equilibrium position with no force applied. f(1) B y(1) Figure 1-P3 (b) Draw a block diagram (or signal flow graph) for the system. (c) Let M 1 kg, K = 2 N/m, B = 2 N/m/sec, and determine the state transition matrix (1). (d) If y(0) = 0.2 m, and y(t) for t≥0. (0) = 0, and f(t) = 2€-2 N for 20, determine y(t)
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