ENGINEERING YOUR FUTURE
9th Edition
ISBN: 9780190279288
Author: Oakes
Publisher: OXF
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Chapter 6, Problem 6.46EAA
To determine
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6. Consider a 10N step input to the mechanical system shown below, take M = 15kg, K = 135N/m, and
b = 0.4 Ns/m.
(a) Assume zero initial condition, calculate the
(i)
System pole
(ii)
System characterization, and
(iii) The time domain response
(b) Calculate the steady-state value of the system
b
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2. Solve the following linear time invariant differential equations using Laplace transforms subject to
different initial conditions
(a) y-y=t
for y(0) = 1 and y(0) = 1
(b) ÿ+4y+ 4y = u(t)
for y(0) = 0 and y(0) = 1
(c) y-y-2y=0
for y(0) = 1 and y(0) = 0
3. For the mechanical systems shown below, the springs are undeflected when x₁ = x2 = x3 = 0 and
the input is given as fa(t). Draw the free-body diagrams and write the modeling equations governing
each of the systems.
K₁
000
K₂
000
M₁
M2
-fa(t)
B₂
B₁
(a)
fa(t)
M2
K₂
000
B
K₁
x1
000
M₁
(b)
Chapter 6 Solutions
ENGINEERING YOUR FUTURE
Ch. 6 - Prob. 6.1EAACh. 6 - Prob. 6.2EAACh. 6 - Prob. 6.3EAACh. 6 - Prob. 6.4EAACh. 6 - Prob. 6.5EAACh. 6 - Prob. 6.6EAACh. 6 - Prob. 6.7EAACh. 6 - Prob. 6.8EAACh. 6 - Prob. 6.9EAACh. 6 - Prob. 6.10EAA
Ch. 6 - Prob. 6.11EAACh. 6 - Prob. 6.12EAACh. 6 - Prob. 6.13EAACh. 6 - Prob. 6.14EAACh. 6 - Prob. 6.15EAACh. 6 - Prob. 6.16EAACh. 6 - Prob. 6.17EAACh. 6 - Prob. 6.18EAACh. 6 - Prob. 6.19EAACh. 6 - Prob. 6.20EAACh. 6 - Prob. 6.21EAACh. 6 - Prob. 6.22EAACh. 6 - Prob. 6.23EAACh. 6 - Prob. 6.24EAACh. 6 - Prob. 6.25EAACh. 6 - Prob. 6.26EAACh. 6 - Prob. 6.27EAACh. 6 - Prob. 6.28EAACh. 6 - Prob. 6.29EAACh. 6 - Prob. 6.30EAACh. 6 - Prob. 6.31EAACh. 6 - Prob. 6.32EAACh. 6 - Prob. 6.33EAACh. 6 - Prob. 6.34EAACh. 6 - Prob. 6.35EAACh. 6 - Prob. 6.36EAACh. 6 - Prob. 6.37EAACh. 6 - Prob. 6.38EAACh. 6 - Prob. 6.39EAACh. 6 - Prob. 6.40EAACh. 6 - Prob. 6.41EAACh. 6 - Prob. 6.42EAACh. 6 - Prob. 6.43EAACh. 6 - Prob. 6.44EAACh. 6 - Prob. 6.45EAACh. 6 - Prob. 6.46EAACh. 6 - Prob. 6.47EAACh. 6 - Prob. 6.48EAACh. 6 - Prob. 6.49EAA
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