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Three identical ideal springs, each of spring constant K = 2000 N/m are connected in three different arrangements as shown in the figure-I, figure-II and figure-III respectively. A massless hook A is connected to the lower and of each configuration. If a mass of 10kg is connected to hook A, the magnitude of displacement of point P are x_(1), x_(2) and x_(3) in figure-I, figure-II and figure-III respectively. Choose the correct option. |
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Answer» `x_(1)=0.150m, x_(2)=0.075 m, x_(3)=0.075m`  `x_(10)=(3mg)/(k)` `kx_(1)=(k)/(2)(x_(10)-x_(1))` `RARR (3kx_(1))/(2)=(k)/(2)x_(10)` `rArr 3x_(1)=x_(10)` `rArr x_(10)=(mg)/(k)=0.05m` `x_(20)=(3mg)/(2k)` `2kx_(2)=k(x_(20)-x)` `rArr x_(2)=(x_(20))/(3)=(mg)/(2k)=0.025m` `x_(30)=(3mg)/(2k)` `kx_(3)=2k(x_(20)-x_(3))` `rArr x_(3)=(2x_(20))/(3k)=(mg)/(k)=0.05m` |
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