Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 12, Problem 12.12P
Determine the bandwidth for a seismic instrument employed as an accelerometer having a seismic mass of 0.2 g and a spring constant of 20,000 N/m, with very low damping. Discuss the advantages of a high natural frequency and a low damping ratio. Piezoelectric sensors are well suited for the construction of accelerometers because they possess these characteristics.
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Exercises
Find the solution of the following Differential Equations
1) y" + y = 3x²
3)
"+2y+3y=27x
5) y"+y=6sin(x)
7) y"+4y+4y = 18 cosh(x)
9) (4)-5y"+4y = 10 cos(x)
11) y"+y=x²+x
13) y"-2y+y=e*
15) y+2y"-y'-2y=1-4x³
2) y"+2y' + y = x²
4) "+y=-30 sin(4x)
6) y"+4y+3y=sin(x)+2 cos(x)
8) y"-2y+2y= 2e* cos(x)
10) y+y-2y=3e*
12) y"-y=e*
14) y"+y+y=x+4x³ +12x²
16) y"-2y+2y=2e* cos(x)
The state of stress at a point is σ = -4.00 kpsi, σy = 16.00 kpsi, σ = -14.00 kpsi, Try = 11.00 kpsi,
Tyz = 8.000 kpsi, and T = -14.00 kpsi.
Determine the principal stresses.
The principal normal stress σ₁ is determined to be [
The principal normal stress σ2 is determined to be [
The principal normal stress σ3 is determined to be
kpsi.
kpsi.
The principal shear stress 71/2 is determined to be [
The principal shear stress 7½ is determined to be [
The principal shear stress T₁/, is determined to be [
kpsi.
kpsi.
kpsi.
kpsi.
Repeat Problem 28, except using a shaft that is rotatingand transmitting a torque of 150 N * m from the left bearing to the middle of the shaft. Also, there is a profile keyseat at the middle under the load.
(I want to understand this problem)
Chapter 12 Solutions
Theory and Design for Mechanical Measurements
Ch. 12 - Prob. 12.11PCh. 12 - Determine the bandwidth for a seismic instrument...Ch. 12 - In Example 12.2, integration is identified as a...Ch. 12 - Consider a moving coil transducer having a coil...Ch. 12 - Hydrophones are microphones designed to be used...Ch. 12 - Research the use of load cells in robotics, both...Ch. 12 - Prob. 12.22PCh. 12 - Prob. 12.25PCh. 12 - Prob. 12.26PCh. 12 - Prob. 12.27P
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