MCQ
Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.
  • A
    $4\, m g$
  • B
    $\frac{m g}{2}$
  • C
    $\frac{3 \,m g}{2}$
  • $2\, mg$

Answer

Correct option: D.
$2\, mg$
d
The maximum force in the spring extension is given by,

$F_{max}=k x$

Consider the equilibrium,

$\frac{1}{2} k x^{2}=m g x$

$k x=2 m g$

Substitute $2 m g$ for $k x$ in equation $(I).$

$F_{\operatorname{max}}=2 m g$

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