In the figure shown, the pulleys are massless, springs and strings are ideal. In both situations, we have identical masses and identical springs. If extension in spring are $x_{1}$ and $x_{2}$ respectively.
Find the value of $\frac{x _{2}}{x _{1}}$ .
$x_{1} x_{2}$
$\frac{x _{2}}{x _{1}}$

Question

In the figure shown, the pulleys are massless, springs and strings are ideal. In both situations, we have identical masses and identical springs. If extension in spring are $x_{1}$ and $x_{2}$ respectively.

Find the value of $\frac{x _{2}}{x _{1}}$ .

$x_{1} x_{2}$

$\frac{x _{2}}{x _{1}}$

TestHub · Accepted Answer

First arrangement: K x 1 ​ = 4 T ​ ; second arrangement: K x 2 ​ = 2 T ​ The same hanging mass gives the same T in both x 1 ​ x 2 ​ ​ = T /4 K T /2 K ​ = 2

Physics - NLM Question with Solution | TestHub

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