question 6

Questions 5-6-7) A solid, uniform cylinder of mass m1=M and mdius 2R rests on a horizontal table. It is attached to a frictionless shaft passing through the center of the cylinder, and the cylinder can rotate around this shaft. The rope passes over a pulley with mass m2=2M, radius R, and attached to a frictionless shaft passing through its center. A block of mass m3=2M is hung on the free end of the rope, as shown in the figure. The rope does not slip on the pulley surface and the cylinder rolls on the table without slipping. For a cylinder and pulley of mass m and radius r;I=21mr2. The system is released from rest, when the mass m3 is displaced by h;, 5) Find the speed of the center of mass of the cylinder. A) 1116gh B) 152gh C) 34gh D) 1516gh E) 97g 6) What is the tension force in the rope between masses m2 and m3 ? B) 36x48 C) 1514. D) 152xiy E) 9isinH