A massive, frictionless pulley consists of two 310 g solid disks with 3.8 cm radii connected by a lightweight axel with a 2 cm radius. A string is wound around the axel of the pulley and attached to a 130 g block which slides down an incline shown in the figure with θ = 31∘. The coefficient of kinetic friction between the block and the incline is 0.27.
Calculate the magnitude of the acceleration of the block, in m/s2.