Solve and show all working/reasoning

Questions 10-11 A solid cylinder of mass m and radius R has a string wound around it. A person holding the string pulls it vertically upward, as shown above, such that the cylinder is suspended in midair for a b in midair for a brief time interval At and its center of mass does not move. The tension in the string is 7, and the rotational inertia of the cylinder about its axis is 2 L MR 10. the net force on the cylinder during the time interval At is (A) mg (B) T-mgR (C) mgR - T (D) zero T-mg 11. The linear acceleration of the person's hand during the time interval At is (A) m (B) 28 (C) 2 (D) m m 12. A block of mass m is placed against the inner wall of a hollow cylinder of radius R that rotates about a vertical axis with a constant angular velocity w, as shown above. In order for friction to prevent the mass from sliding down the wall, the coefficient of static friction / between the mass and the wall must satisfy which of the following inequalities? 1 2 -8 (A) W' R (B) g US -8 USOR (C) W R (D) g SECTION C - Rolling 1. A bowling ball of mass M and radius R. whose moment of inertia about its center is (2/5)MR?, rolls without slipping along a level surface at speed v. The maximum vertical height to which it can roll if it ascends an incline is V 2 v 7v2 (A) 58 (B) 5g (C) 28 (D) 10g Questions 2-3 A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h as shown above 2. If the plane is frictionless, what is the speed vem, of the center of mass of the sphere at the bottom of the incline