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PROBLEM 3 ONLY

1. A plain prismatic shaft without any rotating components is simply-supported. Its characteristics are as follows: Length, (L) diameter, (d Specific weight () Modulus, (E) 2%/8 in 0.282 lbf /in330e6 lbf/in2 a) What is the lowest critical speed of the shaft? Give your answer in both rad/s and rpm. Give your answer in both rad/s and rpm. critical speed change? In general, would this be desirable? (b) According to our text, what is the highest recommended operating speed? (c) All else being equal, if the shaft length were halved, how would the lowest 2. Now suppose that the shaft of the previous problem has a single gear attached six inches from the left bearing. The gear weighs 1.5 lbf. Use Rayleighs method to determine the critical speed. Ignore the weight of the shaft itself. Give your answer in both rad/s and rpm. You will most likely use a figure from Appendix A-9. Which case is appropriate? Will you have to use influence coefficients? 3. Repeat the previous problem, but let there be an additional gear weighing 2.5 lb ten inches from the left bearing. You may use the influence coefficient method in this problem, or you may use our stepped shaft program, or, if you wish, you may do both!

PROBLEM 3 ONLY

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