Collecting terms and neglecting terms in 2ω′: cossin0ggxxtyytllωω′′+++±±±±=sincos0ggxxtyytllωω′′+−+±±±±=5.2124sinTλ=hours 2473.7sin19T==Dhours 5.22Choose a coordinate system with the origin at the center of the wheel, the x′and axes pointing toward fixed points on the rim of the wheel, and the axis pointing toward the center of curvature of the track. Take the initial position of the y′z′x′axis to be horizontal in the V−DGdirection, so the initial position of the y′axis is vertical. The bicycle wheel is rotating with angular velocity Vabout its axis, so … bDˆlVkbω′=DGA unit vector in the vertical direction is: ˆˆˆsincosV tV tnijbb′′=+DDAt the instant a point on the rim of the wheel reaches its highest point: ˆˆˆsincosV tV trbnb ijbb′′′==+DDGSince the coordinate system is moving with the wheel, every point on the rim is
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