QZ_12 - MECHANICAL ENGINEERING PROBLEM Qulz 12 DEPARTMENT...

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Unformatted text preview: MECHANICAL . . ENGINEERING . PROBLEM. Qulz 12 DEPARTMENT SECTION. A force of P = 20 N is applied to the cable, which causes the reel to turn without slipping on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has rotated two revolutions starting from rest. Neglect the mass of thecable. Each roller has a moment of inertia of IR = 0.09 kg-mz, having a radius of 0.1m. The moment of inertia of the reel about its center axis is IG=30.87 kg-mz. GIVEN: ’P: ZOM I 01444,,“ +vfa‘l 0-3/0 5M?) Ir " 0'06) yg-‘Mz / :6 = 303:} ifs-wt? radius 05‘ Cylinder» A t E "'OJM FIND: 0Q o9 reezl SOLUTION: /+/+ (Oil—Z310; : 7;. 2V (UI'Z'SNL " Pd real Fo—I'A'i-ts Z rev x ,3}; —, #Traolim/ng Ircx/ 0 ol = re d = (0150(475 = 3. I‘ll M (0,»: m ‘— (zom\(g,;<.;ZM\ = éZ.ggz/Q.M (725W .1 5 Is as? = z'Czogfipf (flows [% Zr as:] L = (009)»: < UPLBNC " 7’1 1,_ 62.831 =— {Sc/clp,‘ + 0.09531 (D K ’VLIocHry gd’ HM“ Fri“ camufljnffi cylinder- A53 40 “in real /, worst? be“ My. ,fiauwn. Q2 12 ...
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