A block of mass \( m \) is attached with a spring in its natural length, of spring constant \( k...

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A block of mass \( m \) is attached with a spring in its natural length, of spring constant \( k \). The other end \( A \) of spring is moved with a constant acceleration ' \( a \) ' away from the block as shown in the figure-3.74. Find the maximum extension in the spring. Assume that initially block and spring is at rest w.r.t ground frame :
Figure \( 3.74 \)
(A) \( \frac{m a}{k} \)
(B) \( \frac{1}{2} \frac{m a}{k} \)
(C) \( \frac{2 m a}{k} \)
(D) \( \frac{1}{2} \frac{4 m a}{k} \)
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