Translated 1.5.1-1.5.2;1.5.3-1.5.7

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			<h2>Solutions of Savchenko Problems in Physics</h2>
			<p class="author">
			Aliaksandr Melnichenka <br/>
			October 2023
			</p>
			</header>

			<h3 id="back-link"><a href="../../#1.5">$\leftarrow$Back</a></h3>

			<h3> Statement </h3>

			<p>
			$1.5.3$
			A wedge has a slope's angle of 30$^\circ$. A vertical rod goes down with velocity $v$ and pushes the wedge. What velocity will develope the wedge?
			</p>
			<center>
			<figure>
			<img src="statement.png"
			loading="lazy" alt="1.5.3" width="200" />
			<figcaption>
			For problem 1.5.3
			</figcaption>
			</figure>
			</center>

			<h3>Solution</h3>

			<p>
		@@ -66,7 +66,7 @@
			Firstly, we suppose there is no any friction. For a better understanding of the problem, consider the following figure
			</p>

		−	<center><figure><img
		+	<center><figure><img
			src="1.5.3.png" loading="lazy" alt="1.5.3" width="200" />
			<figcaption>
			Motion of wedge and rod
			</figcaption>
			</figure></center>

			<p>
			According to figure
			$$\tan{30^\circ}=\frac{S_r}{S_w}$$
			and this relation is valid for velocities too because the motion is uniform (at constant speed)
			$$\tan{30^\circ}=\frac{v}{v_w}=\frac{\sqrt{3}}{3}$$
			So, separating $v_w$
		@@ -82,7 +82,7 @@
			$$\boxed{v_w=v\sqrt{3}}$$
			</center>

		−	<p style="text-align: right; font-style: italic; font-size: 14;">
		+	<p style="text-align: right; font-style: italic; font-size: 14;">
			BSc. Luis Daniel Fernández Quintana<br>
			Physics Department (FCNE)<br>
			Universidad de Oriente, Cuba<br>
			</p>


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	<header style="text-align:center;">		<header style="text-align:center;">
	<h2>Solutions of Savchenko Problems in Physics</h2>		<h2>Solutions of Savchenko Problems in Physics</h2>
	<p class="author">		<p class="author">
	Aliaksandr Melnichenka <br/>		Aliaksandr Melnichenka <br/>
	October 2023		October 2023
	</p>		</p>
	</header>		</header>

	<h3 id="back-link"><a href="../../#1.5">$\leftarrow$Back</a></h3>		<h3 id="back-link"><a href="../../#1.5">$\leftarrow$Back</a></h3>

	<h3> Statement </h3>		<h3> Statement </h3>

	<p>		<p>
	$1.5.3$		$1.5.3$
	A wedge has a slope's angle of 30$^\circ$. A vertical rod goes down with velocity $v$ and pushes the wedge. What velocity will develope the wedge?		A wedge has a slope's angle of 30$^\circ$. A vertical rod goes down with velocity $v$ and pushes the wedge. What velocity will develope the wedge?
	</p>		</p>
	<center>		<center>
	<figure>		<figure>
	<img src="statement.png"		<img src="statement.png"
	loading="lazy" alt="1.5.3" width="200" />		loading="lazy" alt="1.5.3" width="200" />
	<figcaption>		<figcaption>
	For problem 1.5.3		For problem 1.5.3
	</figcaption>		</figcaption>
	</figure>		</figure>
	</center>		</center>

	<h3>Solution</h3>		<h3>Solution</h3>

	<p>		<p>
	@@ -66,7 +66,7 @@
	Firstly, we suppose there is no any friction. For a better understanding of the problem, consider the following figure		Firstly, we suppose there is no any friction. For a better understanding of the problem, consider the following figure
	</p>		</p>

	<center><figure><img		<center><figure><img
	src="1.5.3.png" loading="lazy" alt="1.5.3" width="200" />		src="1.5.3.png" loading="lazy" alt="1.5.3" width="200" />
	<figcaption>		<figcaption>
	Motion of wedge and rod		Motion of wedge and rod
	</figcaption>		</figcaption>
	</figure></center>		</figure></center>

	<p>		<p>
	According to figure		According to figure
	$$\tan{30^\circ}=\frac{S_r}{S_w}$$		$$\tan{30^\circ}=\frac{S_r}{S_w}$$
	and this relation is valid for velocities too because the motion is uniform (at constant speed)		and this relation is valid for velocities too because the motion is uniform (at constant speed)
	$$\tan{30^\circ}=\frac{v}{v_w}=\frac{\sqrt{3}}{3}$$		$$\tan{30^\circ}=\frac{v}{v_w}=\frac{\sqrt{3}}{3}$$
	So, separating $v_w$		So, separating $v_w$
	@@ -82,7 +82,7 @@
	$$\boxed{v_w=v\sqrt{3}}$$		$$\boxed{v_w=v\sqrt{3}}$$
	</center>		</center>

	<p style="text-align: right; font-style: italic; font-size: 14;">		<p style="text-align: right; font-style: italic; font-size: 14;">
	BSc. Luis Daniel Fernández Quintana<br>		BSc. Luis Daniel Fernández Quintana<br>
	Physics Department (FCNE)<br>		Physics Department (FCNE)<br>
	Universidad de Oriente, Cuba<br>		Universidad de Oriente, Cuba<br>
	</p>		</p>


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	<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> aliaksandr@savchenkosolutions.com <br></small>		<small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> aliaksandr@savchenkosolutions.com <br></small>
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