1.

Figure shows two blocks in contact placed on an incline of angle `theta = 30^(@)`. The coefficient of friction between the block of mass 4 kg and the incline is m1, and that between 2 kg block and incline is `mu_(2)`. Find the acceleration of the blocks and the contact force between them if – (a) `mu_(1) = 0.5 , mu_(2) = 0.8` (b) `mu_(1) = 0.8 , mu_(2) = 0.5 ` (c) `mu_(1) = 0.6 , mu_(2) = 0.1 " "` [ Take `g = 10m//s^(2)`]

Answer» Correct Answer - (a) constant force = 0 , acceleration of 4 kg block is `0.7 m//s^(2)` and that of other block is zero
(b) constant force 1.4 N , acceleration of both =0
(c) Constant force = 5.74 N , acceleration of both = `1.27 m//s^(2)`


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