Consider the system shown below, where m1=6kg and m2=19.4kg are attached to the ends of a massless string passing through a pulley of mass M=7.8kg. The inclined plane is frictionless and makes an angle of 8=54°. The pulley is in the shape of a disk with radius R=31 cm and the moment of inertia of a disk is l=MR²/2. If the system is released from rest when m2 is at an height of h=10.3m, determine the angular speed of the pulley right before m2 hits the ground. Express your answer using SI units with one decimal place.Take g=9.8 m/s2

Consider the system shown below, where m1=6kg and m2=19.4kg are attached to the ends of a massless string passing through a pulley of mass M=7.8kg. The inclined plane is frictionless and makes an angle of 8=54°. The pulley is in the shape of a disk with radius R=31 cm and the moment of inertia of a disk is l=MR²/2. If the system is released from rest when m2 is at an height of h=10.3m, determine the angular speed of the pulley right before m2 hits the ground. Express your answer using SI units with one decimal place.Take g=9.8 m/s2