ME 2210 Final: me2210finalr13
31 Jan 2019
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Open book, closed notes, do not write on this sheet. Problem 1 (30 points): a sphere (msphere = 1 kg, rsphere = 0. 05 m) is attached to the right-hand end of a slender rod at b (mrod = 1 kg, lrod = 1 m). The rod pivots about the left-hand end at a. The system is released from rest in a horizontal position and swings freely. Determine the angular velocity of the rod as it passes through a vertical position. (answer: = 4. 698 rad/s) Problem 2: (30 points) the motion of the rod ab (m = 3 kg, l = 0. 8 m) is guided by small wheels of negligible weight that roll along without friction in the slots shown. Using kinematics, determine immediately after release the acceleration of the mass center of the rod in terms of the unknown angular acceleration . Assume the angular acceleration of the rod is in the positive direction. [answer: ( ) ( ) m/s2]
