Answer to Question #53805 in Mechanics | Relativity for Laksh

Question

single - axel bucket P is free to move up and down on a 30o inclined
slope connected to a counter weight Q through a weightless rope which goes over a pulley system
R. The bucket (including wheels) has a mass of 550 kg and its wheels have a total moment of
inertia of 50 kgm2. The twin pulley block R has a total axis moment of inertia of 75 kgm2. The
counter weight is 20 kN and coefficient of friction between Q and the 60o slope on which it is
sliding is 0.2. The wheels of P have radius of 0.5 m, while the two pulleys which constitute R have
radius of 0.2 m and 0.9 m. Determine the acceleration with which the bucket will ascend along the
slope and find the tension in each side of the rope, assuming these two remains parallel to the
respective surfaces.