Angular Acceleration of Pulley System · PhysicsBowl 2018 #20
Physics · mechanics
Problem
A frictionless, solid disk pulley has a mass of 7.07 kg, a radius of 66.0 cm, and is free to rotate vertically about an axle. A rope is wrapped around the disk, a 1.53 kg mass is attached to the end of the rope, and the mass is allowed to fall vertically. What is the angular acceleration of the pulley?
(A) 4.58 rad/s² (B) 7.98 rad/s² (C) 9.87 rad/s² (D) 2.25 rad/s² (E) zero