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The slotted arm AB drives pin C through the spiral groove described by the equation r = (1.5\theta) ft , where \theta is in radians. If the arm starts from rest when \theta = 60° and is driven at an angular velocity of \dot {\theta} = (4t) rad/s , where t is in seconds, determine the radial and transverse components of velocity and acceleration of the pin C when t = 1 s .

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