The slotted wheel rolls to the right without slipping, with a constant speed v = 2 ft/sec

Question:

The slotted wheel rolls to the right without slipping, with a constant speed v = 2 ft/sec of its center O. Simultaneously, motion of the sliding block A is controlled by a mechanism not shown so that x˙ = 1.5 ft/sec with x¨ = 0. Determine the magnitude of the acceleration of A for the instant when x = 6 in. and θ = 30°.