Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 12, Problem 31P
Mechanical/Aerospace Engineering
Perform the same computation as in Sec. 12.4, but add a third spring between masses 1 and 2 and triple k for all springs.
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B
150 mm
120 mm
PROBLEM 15.193
The L-shaped arm BCD rotates about the z axis with a constant
angular velocity @₁ of 5 rad/s. Knowing that the 150-mm-
radius disk rotates about BC with a constant angular velocity
@2 of 4 rad/s, determine (a) the velocity of Point A, (b) the
acceleration of Point A.
Answers:
V₁ =-(0.600 m/s)i + (0.750 m/s)j - (0.600 m/s)k
a=-(6.15 m/s²)i- (3.00 m/s²)j
3
Answer:
002
PROBLEM 15.188
The rotor of an electric motor rotates at the constant rate
@₁ = 1800 rpm. Determine the angular acceleration of the rotor as the
motor is rotated about the y axis with a constant angular velocity 2
x of 6 rpm counterclockwise when viewed from the positive y axis.
α = (118.4 rad/s²)i
12 in..
10 in.
PROBLEM 15.187
At the instant considered the radar antenna shown rotates about
the origin of coordinates with an angular velocity
@ = ai + @j+wk Knowing that (VA) = 15 in./s,
(VB), 9 in./s, and (VB), = 18 in./s, determine (a) the angular
velocity of the antenna, (b) the velocity of point A.
B
10 in.
Answers:
=
(0.600 rad/s)i - (2.00 rad/s) j + (0.750 rad/s)k
V₁ = (20.0 in./s)i + (15.00 in./s) j + (24.0 in./s)k
Chapter 12 Solutions
Numerical Methods for Engineers
Ch. 12 - Chemical/Bio Engineering
12.1 Perform the same...Ch. 12 - Chemical/Bio Engineering If the input to reactor 3...Ch. 12 - Chemical/Bio Engineering Because the system shown...Ch. 12 - Chemical/Bio Engineering
12.4 Recompute the...Ch. 12 - Chemical/Bio Engineering Solve the same system as...Ch. 12 - Chemical/Bio Engineering
12.6 Figure P12.6 shows...Ch. 12 - Chemical/Bio Engineering
12.7 Employing the same...Ch. 12 - Chemical/Bio Engineering The Lower Colorado River...Ch. 12 - Chemical/Bio Engineering A stage extraction...Ch. 12 - Chemical/Bio Engineering
12.10 An irreversible,...
Ch. 12 - Chemical/Bio Engineering
12.11 A peristaltic pump...Ch. 12 - Chemical/Bio Engineering
12.12 Figure P12.12...Ch. 12 - Civil/Environmental Engineering A civil engineer...Ch. 12 - Civil/Environmental Engineering Perform the same...Ch. 12 - Civil/Environmental Engineering
12.15 Perform the...Ch. 12 - Civil/Environmental Engineering Calculate the...Ch. 12 - Civil/Environmental Engineering In the example for...Ch. 12 - Civil/Environmental Engineering Employing the same...Ch. 12 - Civil/Environmental Engineering Solve for the...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Civil/Environmental Engineering
12.22 A truss is...Ch. 12 - Electrical Engineering
12.23 Perform the same...Ch. 12 - Electrical Engineering Perform the same...Ch. 12 - Electrical Engineering
12.25 Solve the circuit in...Ch. 12 - Electrical Engineering
12.26 An electrical...Ch. 12 - Electrical Engineering
12.27 Determine the...Ch. 12 - Electrical Engineering Determine the currents for...Ch. 12 - Electrical Engineering The following system of...Ch. 12 - Electrical Engineering
12.30 The following system...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.32 Perform the...Ch. 12 - Mechanical/Aerospace Engineering
12.33 Idealized...Ch. 12 - Mechanical/Aerospace Engineering Three blocks are...Ch. 12 - Mechanical/Aerospace Engineering Perform a...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering
12.37 Consider...Ch. 12 - Mechanical/Aerospace Engineering The steady-state...Ch. 12 - Mechanical/Aerospace Engineering
12.40 A rod on a...
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