A block with mass m = 1.4 kg is connected to a pulley by rope (see figure). The pulley has a radius of R = 0.2 m, a moment of inertia equal to I = 4 kg m, and it can rotate without friction on its axis. Initially, the block is at a height of h = 12 m above the ground. At time t = 0 the system starts to move and the block starts to move down. In this problem use g = 9.8 m/s. m 1a) Determine the acceleration of the block. answer = units? Check your answer not yet solved Show solution 1b) Determine the tension in the rope while the block is falling. answer = units? Check your answer not yet solved Show solution 1c) With what speed does the block hit the ground? answer = units? Check your answer not yet solved Show solution 1d) At what time t does the block hit the ground? answer = units? Check your answer not yet solved Show solution 1e) What is the angular speed of the pulley at the moment the block hits the ground? answer = units? Check your answer not yet solved Show solution MA MB 2a) Determine the rotational inertia I of the pulley. answer = units? Check your answer not yet solved Show solution 2b) If we define the ground to be at height h = 0, then what is the total initial energy of this system? answer = units? Check your answer not yet solved Show solution 2c) What is the total energy of the system (blocks + pulley) right before block B hits the ground? answer = units? Check your answer not yet solved Show solution 2d) At what height will block A be, right before block B hits the ground? answer = units? Check your answer not yet solved Show solution 2e) Find the speed of block B right before it hits the ground. answer = units? Check your answer not yet solved Show solution Example 2 Two masses A and B are connected by a rope that is on top of a pulley (see figure). Block A has a mass of m = 6.9 kg and block B has a mass of MB = 11 kg. The pulley has a mass of Mp = 7.2 kg and can rotate without friction on its axis. Treat the pulley as a homogeneous disk of radius Rp = 0.3 m. Initially, block A is resting on the ground while block B is hanging H = 9.2 m above the ground. Because of the difference in mass, block B will accelerate down, while block A will move up. At time t = 0 the system starts to move and block A is lifted off the ground. In this problem use 9 = 9.8 m/s.