The dynamometer consists of two cylinders connected by a light spring. Find the ratio of the masses of these cylinders if, with forces F_1 and F_2 applied to them, the dynamometer shows a force of F

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Solutions of Savchenko Problems in Physics
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    <h3 id="back-link"><a href="/#2.1">$\leftarrow$Back</a></h3>

    <h3> Statement </h3>
    <p>
        $2.1.8.$ The dynamometer consists of two cylinders connected by a light spring. Find the ratio of the masses of these cylinders if, with forces $F_1$ and $F_2$ applied to them, the dynamometer shows a force of $F$

    <h3>Solution</h3>
    <p>

Let's write Newton's second law for the horizontal axis $Ox$ $$\left\{\begin{matrix} F_2 - F = m_2 a\\ F-F_1=m_1a \end{matrix}\right.$$ From here we express the mass ratio $$\fbox{$\frac{m_2}{m_1} = \frac{F_2 - F}{F - F_1}$}$$

    </p>

    <h4>Answer</h4>
    <p>
        $$\frac{m_2}{m_1} = \frac{F_2 - F}{F - F_1}$$
    </p>
  <p style="text-align: right; font-style: italic; font-size: 14;">Anastasia Kozak</p>

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