The system shown in figure is in equilibrium. Pulley, springs and the strings are massless. The three blocks A, B and C have equal masses. x_(1) and x_(2) are extensions in the spring 1 and spring 2 respectively. (a) Find the value of |(d^(2)x^(2))/(dt^(2))| immediately after spring 1 is cut . (b)Find the value of |(d^(2)x^(1))/(dt^(2))| and |(d^(2)x^(2))/(dt^(2))| immediately after string AB is cut. (c)Find the value of |(d^(2)x^(1))/(dt^(2))| and |(d^(2)x^(2))/(dt^(2))| immediately after spring 2 is cut .

The system shown in figure is in equilibrium. Pulley, springs and the

1.	The system shown in figure is in equilibrium. Pulley, springs and the strings are massless. The three blocks A, B and C have equal masses. x_(1) and x_(2) are extensions in the spring 1 and spring 2 respectively. (a) Find the value of \|(d^(2)x^(2))/(dt^(2))\| immediately after spring 1 is cut . (b)Find the value of \|(d^(2)x^(1))/(dt^(2))\| and \|(d^(2)x^(2))/(dt^(2))\| immediately after string AB is cut. (c)Find the value of \|(d^(2)x^(1))/(dt^(2))\| and \|(d^(2)x^(2))/(dt^(2))\| immediately after spring 2 is cut .
Answer» Answer :(a) `\|(d^(2)x_(2))/(dt^(2))\| = (3g)/(2)` `\|(d^(2)x_(1))/(dt^(2))\|= 2g ;\|(d^(2)x_(2))/(dt^(2))\| = 2g` (C)`\|(d^(2)x_(1))/(dt^(2))\| = (G)/(2) ;\|(d^(2)x_(2))/(dt^(2))\| = (3g)/(2)`