The block in figure 1 is suspended by a steel cable passing through a pulley of 80 cm diameter. The friction on the pulley shaft and the weight of the cable are considered negligible. At a given instant, the pulley is released and begins to rotate about a perpendicular axis passing through fixed point A and the block descends 1.5 m in 2.0 seconds. The tension in the rope during the descent of the block is 20 N. Considering that the pulley started from rest: 80 cm 150 cm Question 1. Calculate the mass of the block. Question 2. Calculate the moment of inertia of the pulley. Question 3. If it is considered that the block in figure 1 has a mass of 2000 kg and it is decided to place a motor on the axis of the pulley to lift the block with an ascent speed of 8 cm/s, knowing that the block is initially at rest and that the mass of the pulley is negligible. Calculate the necessary power to be developed by the motor. Question 4. If a pulley is initially rotating with an angular velocity of 12 rad/s and the angular acceleration of the disk is given by a function of time a=3t +12 where "t" its seconds. calculate the magnitude of the acceleration at point A. Question 5. Suppose we decide to place a sensor (accelerometer) to measure the acceleration at point C at 25 cm from the center A of the pulley, as shown in Figure 1. If at a given instant the block descends and the sensor measures at point Can acceleration of 12 m/s after t = 0.54 s, knowing that the block starts from rest calculate: (a) The magnitude of the acceleration of the block. b) The vector of the relative acceleration of point B with respect to the fixed point A