Masses `M_(1),M_(2) and M_(3)` are connected by string of negligible mass which pass over massless and frictionless pulleys `P_(1) and P_(2)` as shown in figure 7.15. The masses move such that the string between `P_(1) and P_(2)` is parallel to the incline and the portion of the string between `P_(2) and M_(3)` is horizontal. The masses `M_(2) and M_(3)` are 4.0 kg each and the coefficient of kinetic friction between the masses and the surfces is 0.25. The inclined plane makes an angle of `37^(@)` with the horizontal. If the mass `M_(1)`moves downwards with a uniform velocity, find (i) the mass of `M_(1)`, (ii) the tension in the horizontal portion. `(g=9.8 ms^(-2) , sin 37^(@)=(3)/(5))`

Answer

4.2 kg (ii) 9.8 N