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Unformatted text preview: 2 42Problems and Solutions Section 2.6 (2.59 through 2.62) 2.59Calculate damping and stiffness coefficients for the accelerometer of Figure 2.23 with moving mass of 0.04 kg such that the accelerometer is able to measure vibration between 0 and 50 Hz within 5%. (Hint: For an accelerometer it is desirable for YZb2/!= constant.) Solution: Use equation (2.90): Given: m= 0.04 kg with error < 5% 0.2f= 50 Hz !f= 250 Hz !ω= 2f!= 1570.8 rad/s Thus, k= 2!m= 98,696 N/m When r= .2, 0.95 < 222)2()1(1rr!+"<1.05 (± 5% error) This becomes 0.8317+0.14442!<1<1.016+0.17642!Therefore, !=0.7=c2km)04)(.98696()7(.2=cc= 87.956 Ns/m 2.60The damping constant for a particular accelerometer of the type illustrated in Figure 2.23 is 50 N s/m. It is desired to design the accelerometer (i.e., choose mand k) for a maximum error of 3% over the frequency range 0 to 75 Hz. Solution: Given 0.2f= 75 Hz !f= 375 Hz !...
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This note was uploaded on 03/31/2009 for the course MECHANICAL MAE351 taught by Professor J.g.lee during the Spring '09 term at Korea Advanced Institute of Science and Technology.
 Spring '09
 J.G.Lee

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