A Wheel (Radius = 12 Cm) Is Mounted on a Frictionless

Multiple Choice

A wheel (radius = 12 cm) is mounted on a frictionless, horizontal axle that is perpendicular to the wheel and passes through the centre of mass of the wheel. A light cord wrapped around the wheel supports a 0.40-kg object. If released from rest with the string taut, the object is observed to fall with a downward acceleration of 3.0 m/s2. What is the moment of inertia (of the wheel) about the given axle?

A) 0.023 kg.m²
B) 0.013 kg.m²
C) 0.020 kg.m²
D) 0.016 kg.m²
E) 0.035 kg.m²