Exam_3 - Exam 3 Problem 1 (40 pts) At a given instant, rod...

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Unformatted text preview: Exam 3 Problem 1 (40 pts) At a given instant, rod AB has the angular motions shown. Determine the angular velocity . . ‘ ' 'a of rod CD at this instant.The collar at C is free to slide along rod AB. Given: (“coma-WK pod» sliaLL “sew/“9‘7 - I) “(1) Free Bod Dia ram Solution 1 0 ./ r x ——> _ _\, _‘ _\ (We : A e (JABX rC/A (Iva/AX X7} O -——3 \\'7 v» ___> IV¢ *’ 2% ’L 05¢!) HAD ‘3) Us 3 —-’3 ,\ CK>CD X ‘ QR]: A ’f (—5123x(22§ + 1/ch 2 “©0D3 + M39)th = 403 +4/c/fit NAME(print) Period Exam 3 ‘ Problem 2 (30 pts) The hoop is cast on the rough surface such that it has an angular velocity (0 = 4 rad/s and an angular acceleration a = 5 rad/s2 . Also, its center has a velocity of v0 = 5 m/s and a deceleration a0 = 2 m/sz. Determine the acceleration of point B at this instant. w = 4 rad Given: A -\ Hoop .‘m Mohow Find: '3 at; __ S stem Sketch Solution: \o‘): L/rncl/s \ (X: 5WM/ 5 ‘5 r —3 ——-§ —3 'L _._ )Vozst/e as 1 Q0 + do“ X FB/ - 0508 V; wz'w o /o .5 _ / A (A \ ' 6 0m ' L’ZL\ + ('kax (0,3(1054/52‘ _O.3J,,, c/53) N. .ob —' (6/\z(0.3co$L/Jff 'O,35,\,, 5/455» a?” : ‘Z‘A' ’ "06$ ' l-Oéz / 3.361: + 3.393 ‘- ‘é.q5£ + ‘Z_33§ M/jt 0/1 OHS" [gt/5142.331 as : 6.8é “4/51 NAMEGn‘int) Period —_—__— 4 Exam 3 Problem 3 (30 pts) The figure shows the internal gearing of a “spinner” used for drilling wells. With constant angular acceleration, the motor M rotates the shaft S to 100 rev/min in t = 2 seconds starting from rest. Determine the angular acceleration of the drill-pipe connection D and the number of revolutions it makes during the 2-sec start up. D Given. gram 8w a/Cowsawv x. M =5 [00 W/Mm M Z “a 5hr“ gnaw/1 PC5+ “ *1“ «XD 13 #006 mmia’rmws a: b 23% ‘ " aé‘krl Z, stow-0‘5 S stem Sketch (~30 T O I GO : O ODM : RV/Mv‘n 100 new lM arr ' 905 [Few QM —' 1'0. C/ 1} r%c% «v VC/ochx/ 06c ,4 MUM be. 1‘44). 5am 9* 4/: gr . 7. CL)er QM r~\ 7' CQDFD (10.4? “‘d/QfioawA = < my. I5M3 as.) : ax. mg WV; For T): O §< 0A2M+Mt 4.1573 : o<D< as) . . flan/5 max new ; aéés e ? "—/./3 rod 5:} Z77 /6r we ml. 9 04695 Ramona“ NAME(print) Period 5 ...
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This note was uploaded on 02/09/2012 for the course MECHANICAL EM232 taught by Professor Zollars during the Spring '11 term at Naval Academy.

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Exam_3 - Exam 3 Problem 1 (40 pts) At a given instant, rod...

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