Question

In the figure shown below masses of blocks A and B are 3 kg and 6 kg respectively. The force constants of springs S₁ and S₂ are 160 N/m and 40 N/m respectively. Length of the light string connecting the blocks is 8 m. The system is released from rest with the springs at their natural lengths. The maximum elongation of spring S₁ will be :

(A)  0.294 m

(B)  0.490 m

(C)  0.588 m

(D)  0.882 m

Answer 1

Correct option  (A) 0.294 m

Explanation: 

6g(x) – 3g(x) =  1/2k₂x² + 1/2k₁x²  

6g = (k₁ + k₂)x