EBK THINKING LIKE AN ENGINEER
4th Edition
ISBN: 8220103633512
Author: OHLAND
Publisher: PEARSON
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Chapter 6, Problem 7ICA
Water drips from a faucet at the rate of 3 drops per second. What distance separates one drop from the following drop 0.65 seconds after the leading drop leaves the faucet? How much time elapses between impacts of the two drops if they fall onto a surface that is 6 feet below the lip of the faucet? Your sketch should include the faucet, the two water drops of interest, and the impact surface. Annotate the sketch, labeling each item shown, and denote the relevant distances in symbolic form—for example, you might use d, to represent the distance from the faucet to the first drop.
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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
EBK THINKING LIKE AN ENGINEER
Ch. 6.2 - We use SOLVEM to complete this problem in the...Ch. 6.2 - State the objective and any relevant observations...Ch. 6.2 - Create a list of variables and constants for the...Ch. 6.2 - Create a list of equations for the following...Ch. 6.3 - Manipulate and solve for the following problem,...Ch. 6 - Decide on the type of problem for each question....Ch. 6 - Decide on the type of problem for each question....Ch. 6 - Final Assignment of this ICA: You have done...Ch. 6 - A hungry bookworm bores through a complete set of...Ch. 6 - Two cargo trains each leave their respective...
Ch. 6 - Water drips from a faucet at the rate of 3 drops...Ch. 6 - During rush hour, cars back up when the traffic...Ch. 6 - Suppose that the earth were a smooth sphere and...Ch. 6 - Chapter 6 Review Questions Analyze the following...Ch. 6 - 2. A circus performer jumps from a platform onto...Ch. 6 - 3. Your college quadrangle is 85 meters long and...Ch. 6 - 4. I am standing on the upper deck of the football...Ch. 6 - 5. A 1-kilogram mass has just been dropped from...Ch. 6 - 6. Neglect the weight of the drum in the following...
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