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<meta name="description" content="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<meta property="og:title" content="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
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@@ -14,9 +14,9 @@
<meta property="og:description" content="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<title>The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.</title>
$1.5.17.$ The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height $H$ from the ground. Find the angular velocity of the log as a function of the angle $\alpha$ between it and the horizontal if the truck is moving away from the wall at speed $v$.
<p>The log will drop slightly, turning at a small angle $\Delta\alpha$. If the length of the arc of rotation is $\Delta x$, then by definition of the radian measure of angle</p>
<p>
$$\Delta\alpha=\frac{\Delta x }{R}$$
</p>
<p>Angular velocity is defined as</p>
<p>
$$\omega=\frac{\Delta\alpha}{\Delta t }=\frac{\Delta x }{R\Delta t }$$
</p>
<p>Но $\Delta x =\upsilon\Delta t\sin\alpha$.</p>
<p>
$$\omega=\frac{\upsilon\Delta t\sin\alpha}{R\Delta t }=\frac{\upsilon\sin\alpha}{R}$$
<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="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<meta name="description" content="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<meta property="og:title" content="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<meta property="og:title" content="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<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="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<meta property="og:description" content="The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.">
<title>The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.</title>
<title>The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height H from the ground. Find the angular velocity of the log as a function of the angle \alpha between it and the horizontal if the truck is moving away from the wall at speed v.</title>
$1.5.17.$ The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height $H$ from the ground. Find the angular velocity of the log as a function of the angle $\alpha$ between it and the horizontal if the truck is moving away from the wall at speed $v$.
$1.5.17.$ The log, resting its lower end in the corner between the wall and the ground, touches the bottom of the truck at a height $H$ from the ground. Find the angular velocity of the log as a function of the angle $\alpha$ between it and the horizontal if the truck is moving away from the wall at speed $v$.
<p>The log will drop slightly, turning at a small angle $\Delta\alpha$. If the length of the arc of rotation is $\Delta x$, then by definition of the radian measure of angle</p>
<p>The log will drop slightly, turning at a small angle $\Delta\alpha$. If the length of the arc of rotation is $\Delta x$, then by definition of the radian measure of angle</p>
<p>
<p>
$$\Delta\alpha=\frac{\Delta x }{R}$$
$$\Delta\alpha=\frac{\Delta x }{R}$$
</p>
</p>
<p>Angular velocity is defined as</p>
<p>Angular velocity is defined as</p>
<p>
<p>
$$\omega=\frac{\Delta\alpha}{\Delta t }=\frac{\Delta x }{R\Delta t }$$
$$\omega=\frac{\Delta\alpha}{\Delta t }=\frac{\Delta x }{R\Delta t }$$
</p>
</p>
<p>Но $\Delta x =\upsilon\Delta t\sin\alpha$.</p>
<p>Но $\Delta x =\upsilon\Delta t\sin\alpha$.</p>
<p>
<p>
$$\omega=\frac{\upsilon\Delta t\sin\alpha}{R\Delta t }=\frac{\upsilon\sin\alpha}{R}$$
$$\omega=\frac{\upsilon\Delta t\sin\alpha}{R\Delta t }=\frac{\upsilon\sin\alpha}{R}$$
<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>
