A block A of mass m=5kg is attached with a spring having force constant K=2000N/m. The other end of the spring is fixed to a rough plane, inclined at 37 with horizontal and having coefficient of friction m=0.25. Block A is gently placed on the plane such that the spring has no tension. Then block A is released slowly. Calculate elongation of the spring when equilibrium is achieved. Now an inextensible thread is connected with block A and passes below pulley C and over pulley D, as shown in figure. Other end of the thread is connected with another block B of mass 3kg. Block B is resting over a table and thread is loose. If the table collapse suddenly and B falls freely through 80/9cm, the thread becomes taut, calculate combined speed of blocks at that instant, and maximum elongation of spring in the process of motion. (g=10m/s^2).
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