A pulley of radius r=27 cm is mounted on a frictionless horizontal axle passing through point O. The acceleration of the block is a=8.9 m/s2. A massless cord wrapped around the pulley is attached to a m=5.7 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude F=180 N is applied to the block, what is the moment of inertia of the pulley with respect to point O in units of kg·m2 ? Assume the cord does not slip on the pulley. Round your answer to one decimal place.

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A pulley of radius r=27 cm is mounted on a frictionless horizontal axle passing through point O. The acceleration of the block is a=8.9 m/s2. A massless cord wrapped around the pulley is attached to a m=5.7 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude F=180 N is applied to the block, what is the moment of inertia of the pulley with respect to point O in units of kg·m2 ? Assume the cord does not slip on the pulley. Round your answer to one decimal place.