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<meta name="description" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<meta property="og:title" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
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@@ -14,9 +14,9 @@
<meta property="og:description" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<title>In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?</title>
$2.8.11.$ In a smooth fixed hemisphere, a stick of mass $m$ freely lies so that its angle with the horizon is equal to $\alpha$, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between $A$ and $B$?
</p>
<center>
<figure>
<img src="2.8.11.png"
loading="lazy" width="200" />
<figcaption>
For problem $2.8.11$
</figcaption>
</figure>
</center>
<p>
</p>
<h3>Solution</h3>
<p>
</p>
<center>
<figure>
<img src="2.8.11_1.png"
loading="lazy" width="300" />
<figcaption>
Forces acting on the stick
</figcaption>
</figure>
</center>
<p>
Equilibrium condition for vertical and horizontal axes respectively
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="description" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<meta name="description" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<meta property="og:title" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<meta property="og:title" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<meta property="og:image" content="img/logo.png">
<meta property="og:image" content="img/logo.png">
@@ -14,9 +14,9 @@
<meta property="og:description" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<meta property="og:description" content="In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?">
<title>In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?</title>
<title>In a smooth fixed hemisphere, a stick of mass m freely lies so that its angle with the horizon is equal to \alpha, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between A and B?</title>
$2.8.11.$ In a smooth fixed hemisphere, a stick of mass $m$ freely lies so that its angle with the horizon is equal to $\alpha$, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between $A$ and $B$?
$2.8.11.$ In a smooth fixed hemisphere, a stick of mass $m$ freely lies so that its angle with the horizon is equal to $\alpha$, and its end extends beyond the edge of the hemisphere. With what forces does the wand act on the hemisphere at the points of contact between $A$ and $B$?
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="2.8.11.png"
<img src="2.8.11.png"
loading="lazy" width="200" />
loading="lazy" width="200" />
<figcaption>
<figcaption>
For problem $2.8.11$
For problem $2.8.11$
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<p>
</p>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
</p>
</p>
<center>
<center>
<figure>
<figure>
<img src="2.8.11_1.png"
<img src="2.8.11_1.png"
loading="lazy" width="300" />
loading="lazy" width="300" />
<figcaption>
<figcaption>
Forces acting on the stick
Forces acting on the stick
</figcaption>
</figcaption>
</figure>
</figure>
</center>
</center>
<p>
<p>
Equilibrium condition for vertical and horizontal axes respectively
Equilibrium condition for vertical and horizontal axes respectively
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> alex@savchenkosolutions.com <br></small>
