Question

System Dynamics

Shaft S turns in a clevis F attached to the ground at 2 rad/sec with respect to the ground indirection 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 in. away 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./sec?, both relative to the spoke.At the instant shown, find

1. the absolute velocity of the bug with respect to the ground (6 points)

2. the absolute acceleration of the bug with respect to the ground.(9 points)

Express your answer in the coordinate system shown attached to the shaft S.


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