A double collar C is pin-connected together such that one collar slides over a fixed rod and the other slides over a rotating rod. If the geometry of the fixed rod for a short distance can be defined by a lemniscate, r² = (a cos bθ), determine the collar’s radial and transverse components of velocity and acceleration at the instant θ = 0° as shown. Rod OA is rotating at a constant rate of θ'. Given:

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a = 4 ft² b = 2 8 = 6 rad S