試題詳解

5. A massless pulley with radius R=0.5 m and moment of inertia M=2.0 kg m² is used in a system where a rope is attached to two masses. One end of the rope is connected to a mass m1=3.0 kg, which hangs vertically, while the other end is attached to a mass m2=5.0 kg that lies on a frictionless horizontal surface. The system is initially at rest, and we assume the rope does not slip on the pulley. Calculate the acceleration of m1.
(A) 5.75m/s²
(B) 4.63m/s²
(C) 3.28m/s²
(D) 2.84m/s²
(E) 1.84m/s²