HardPhysics
+4 / -1
In the given system, pulley, string and springs are ideal. Initially the system is in equilibrium. If a1, a2, a3 represent the accelerations of the given blocks, then find the value of |a1| + |a2| + |a3| just after the spring(2) is cut. (g = 10 m/s^2)
A
Zero
B
10 m/s^2
C
40/3 m/s^2
D
50/3 m/s^2
Explanation
Initially, spring 2 (k2x2) supports 2kg, so tension is 20N. String tension supports 3kg + 20N = 50N. Spring 1 supports 5kg + 50N = 100N. When spring 2 is cut: 2kg block falls with g (a3=10). 3kg block is now pulled by string (50N) - 30N = 20N upwards (a2=20/3). 5kg block acceleration a1=0 because spring 1 force doesn't change instantly. Total = 0 + 20/3 + 10 = 50/3 m/s^2.
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