Shaft S turns in a clevis F attached to ground at 2 rad/sec with respect to...

 

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Shaft S turns in a clevis F attached to ground at 2 rad/sec with respect to ground in the direction shown. The wheel simultaneously rotates about the axis indicated at 3 rad/sec with respect to the shaft S. Both rotation rates are constant. There is a bug crawling outward on a spoke as shown. The bug is currently 1 inch from the center of the wheel. The bug is crawling outward on the spoke at 0.2 in/sec with an acceleration of 0.1 in/sec², both relative to the spoke. At the instant shown, find (a) the absolute velocity of the bug with respect to ground; (b) the absolute acceleration of the bug with respect to ground. Express your answer in the coordinate system shown attached to the shaft S. 2 rad/sec S (5 in. long) 2 in. this X 3 rad/sec Used with permission from "Engineering Mechanics: Dynamics," McGill/King, 4th Ed., 2003 bug/ground=-133-0.2k in/sec; a bug/ground=-20 +1.23 - 8.9k in/sec² V bug/ground = 133 - 0.2k in/sec; a bug/ground=-321 + 1.23 + 8.9k in/sec² V bug/ground=73 -0.2k in/sec; a bug/ground=-20 +1.23 - 9.1k in/sec² Shaft S turns in a clevis F attached to ground at 2 rad/sec with respect to ground in the direction shown. The wheel simultaneously rotates about the axis indicated at 3 rad/sec with respect to the shaft S. Both rotation rates are constant. There is a bug crawling outward on a spoke as shown. The bug is currently 1 inch from the center of the wheel. The bug is crawling outward on the spoke at 0.2 in/sec with an acceleration of 0.1 in/sec², both relative to the spoke. At the instant shown, find (a) the absolute velocity of the bug with respect to ground; (b) the absolute acceleration of the bug with respect to ground. Express your answer in the coordinate system shown attached to the shaft S. 2 rad/sec S (5 in. long) 2 in. this X 3 rad/sec Used with permission from "Engineering Mechanics: Dynamics," McGill/King, 4th Ed., 2003 bug/ground=-133-0.2k in/sec; a bug/ground=-20 +1.23 - 8.9k in/sec² V bug/ground = 133 - 0.2k in/sec; a bug/ground=-321 + 1.23 + 8.9k in/sec² V bug/ground=73 -0.2k in/sec; a bug/ground=-20 +1.23 - 9.1k in/sec²

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