Can a cylinder pull a box

Figure

Figure

On an inclined plane of 30° a block, mass m2 = 4 kg, is joined by a light cord to a solid cylinder, mass m1 = 8 kg, radius r = 5 cm (Fig).The coefficient of friction between all the contact surfaces is µ = 0.2. Friction at the bearing and rolling friction are negligible. If the acceleration of the mass m2 is A find the value of [10A].

Note:

  1. [] represents greatest integer function e.g. [ 2.3 ] = 2 .

  2. Take\[ g=9.8 m/s^{2}\].

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