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Read each problem carefully. There are three pages and three problems, each worth 10 point, Cheat Sheet of Engineering

Wayne State CollegeEngineering

Read each problem carefully. There are three pages and three problems, each worth 10 points. Include units in your answers, as appropriate. Total points: 30. 1. (10 pts) The uniform bar of mass m and total length L = 4a, sketched below, rotates by an angle 0 (assumed small) about a frictionless pin at point 0, and lies in the horizontal plane. The mass M 2tn is considered to be a concentrated mass. Find the equation of motion in terms of 0 and the parameters a, k, c, and in. (Note that for a uniform slender bar of length L, the mass moment of inertia about its center of mass 0 is

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Download Read each problem carefully. There are three pages and three problems, each worth 10 point and more Cheat Sheet Engineering in PDF only on Docsity!

Exam 2 T G / ME 461, March 28, 2008 Name . envatne Read each problem carefully. There are three pages and three problems, each worth 10 points. Total points: 30. 1. (10 pts) A single degree-of- freedom mass/spring/dashpot system, with m= 2 kg, c= 10 kg/s and k = 1000 kg/s”, is harmonically forced at a frequency of @ = 10 1/s and an unknown amplitude Fo. Suppose it has a Anown steady-state response amplitude X = 1 cm. Use vibration isolation ideas to (a) find the amplitude of the force transmitted Fr. Fo Sinat Et) = kee cx oe = kYXsinfst-f) + CwX cosfvt-) #4 y . Sines 4 Cos wif kK ‘ kx Ch lAl= (kx (wX)* F, = {(loee rouey + [0 #) (0%) }* X =(loos 2 \(oorm) = je,05 N (b) find the amplitude of the applied force in terms of Fr Free qR = ky (cw) a food 9,2 Fo (k ~tm) + )” (1000 ~ alio)’) i o){re))” = 10ST ag 806 bys fo= F/rp= 0.80 = GOGN