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<meta property="og:description" content="With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius r, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is
<title>With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius r, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is
With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius $r$, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is $\rho$, the length of the stick is $l$.
</p>
<center>
<figure>
<img src="statement.png"
loading="lazy" alt="4.2.11" width="200" />
<figcaption>
For problem 4.2.11
</figcaption>
</figure>
</center>
<h3>Solution</h3>
<p>
Let's consider the following figure
</p>
<center>
<figure>
<img src="draw.png"
loading="lazy" alt="4.2.11" width="200" />
<figcaption>
Force analysis
</figcaption>
</figure>
</center>
<p>
The system is on equilibrium in above position, so total torque is zero ($\sum\vec{\tau} = \vec{0}$). Considering as a pivot point the center of mass of the stick (located at stick's half),
Let's suppose the pivot point at the contact of stick with the bottom. Applying Newton Second Law for rotation ($\sum\vec{\tau} = \vec{0}$) and considering the massless ball
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small>
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
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<meta name="description" content="The largest dataset of solutions of 'Savchenko. Problems in Physics'. Savchenko’s Problems in General Physics is widely used to prepare for olympiads and it is a useful tool to
<meta name="description" content="With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius r, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is
master and sharpen your skills and techniques in comptetitive problem solving. Some of these problems were a source
ho, the length of the stick is l.">
of inspiration for Jaan Kalda’s handouts and to some NBPhO problems. You may find problems from old IPhO
<meta property="og:title" content="With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius r, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is
ho, the length of the stick is l.">
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<meta property="og:description" content="A website with solutions to physics problems from Savchenko Textbook">
<meta property="og:description" content="With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius r, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is
<title>With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius r, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is
With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius $r$, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is $\rho$, the length of the stick is $l$.
With what force a heavy stick presses on the bottom of the reservoir, if a hollow ball of radius $r$, rigidly connected to the stick, is half immersed in the liquid? The density of the liquid is $\rho$, the length of the stick is $l$.
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="statement.png"
<img src="statement.png"
loading="lazy" alt="4.2.11" width="200" />
loading="lazy" alt="4.2.11" width="200" />
<figcaption>
<figcaption>
For problem 4.2.11
For problem 4.2.11
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
Let's consider the following figure
Let's consider the following figure
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="draw.png"
<img src="draw.png"
loading="lazy" alt="4.2.11" width="200" />
loading="lazy" alt="4.2.11" width="200" />
<figcaption>
<figcaption>
Force analysis
Force analysis
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<p>
The system is on equilibrium in above position, so total torque is zero ($\sum\vec{\tau} = \vec{0}$). Considering as a pivot point the center of mass of the stick (located at stick's half),
The system is on equilibrium in above position, so total torque is zero ($\sum\vec{\tau} = \vec{0}$). Considering as a pivot point the center of mass of the stick (located at stick's half),
Let's suppose the pivot point at the contact of stick with the bottom. Applying Newton Second Law for rotation ($\sum\vec{\tau} = \vec{0}$) and considering the massless ball
Let's suppose the pivot point at the contact of stick with the bottom. Applying Newton Second Law for rotation ($\sum\vec{\tau} = \vec{0}$) and considering the massless ball
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small>
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small>
