QUESTION 1
(a) A lifting machine is used to raise up M kg of load. Sketch the free body diagram for the
system. From the diagram, write the formula for tension of the rope, P and driven torque,
T. Ignored friction torque.
[4 marks]
(b) Tied at two ends of the rope is two load with mass of 15 kg and 5 kg, respectively. Rope
wound on a drum with a moment of inertia of 0.86 kgm² and 920 mm in diameter. Ignore
any friction, calculate:
(i) Acceleration of the system and the tensions of the rope when the system is
allowed to fall freely.
(ii) Torque of the driver if the mass of 15 kg is required to lift up with acceleration
of 1.2 m/s².
(iii) The power produced by a hoist machine at the velocity of 0.98 m/s.
[21 marks]