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			<span><img src="../../img/book.png"></span><span>Savchenko Solutions</span>
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			Solutions of Savchenko Problems in Physics <br>
			<i><b>knowledge must be free</b></i>
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			<h3 id="back-link"><a href="../../#2.1">$\leftarrow$Back</a></h3>

			<h3> Statement </h3>
			<p>
			$2.1.46.$ Two bodies of the same mass connected by a thread slide along an inclined plane. Thread tension force $T$. There is no friction between one body and the board. Determine the friction force between the board and another body.
			</p>

			<h3>Solution</h3>
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			<figcaption>
			Forces acting on a system of bodies
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			<p>
			1. Since bodies of the same mass move down the plane with a stretched thread, the upper body will have a rough surface. The bodies will have the same accelerations with a stretched thread.
			</p>
		@@ -70,15 +70,15 @@
			<p>
			2. Let's write the equations of Newton's second law in projection on the direction of motion for each body separately:
			$$ \left\{\begin{matrix}
		−	m_1g\,sin\,\alpha-T=m_1a_1 & \\
		−	m_1g\,sin\,\alpha+T-F_т=m_2a_2 &
		+	m_1g\,\sin \alpha-T=m_1a_1 & \\
		+	m_1g\,\sin \alpha+T-F_т=m_2a_2 &
			\end{matrix}\right. $$

			$$ a_1=a_2 $$

			$$ m_1=m_2 $$

		−	$$ mg\,sin~~\,\alpha~~+T-F_т=mg\,sin\,\alpha-T $$
		+	$$ mg\,\sin \alpha+T-F_т=mg\,\sin \alpha-T $$

			$$ F_т=2T $$
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			<h4>Answer</h4>
			<p>
			$$F = 2T$$
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	<h3> Statement </h3>		<h3> Statement </h3>
	<p>		<p>
	$2.1.46.$ Two bodies of the same mass connected by a thread slide along an inclined plane. Thread tension force $T$. There is no friction between one body and the board. Determine the friction force between the board and another body.		$2.1.46.$ Two bodies of the same mass connected by a thread slide along an inclined plane. Thread tension force $T$. There is no friction between one body and the board. Determine the friction force between the board and another body.
	</p>		</p>

	<h3>Solution</h3>		<h3>Solution</h3>
	<p>		<p>
	<center>		<center>
	<figure>		<figure>
	<img src="https://savchenkosolutions.com/2/2.1.46/sol.png"		<img src="https://savchenkosolutions.com/2/2.1.46/sol.png"
	loading="lazy" width="350" />		loading="lazy" width="350" />
	<figcaption>		<figcaption>
	Forces acting on a system of bodies		Forces acting on a system of bodies
	</figcaption>		</figcaption>
	</figure>		</figure>
	</center>		</center>
	<p>		<p>
	1. Since bodies of the same mass move down the plane with a stretched thread, the upper body will have a rough surface. The bodies will have the same accelerations with a stretched thread.		1. Since bodies of the same mass move down the plane with a stretched thread, the upper body will have a rough surface. The bodies will have the same accelerations with a stretched thread.
	</p>		</p>
	@@ -70,15 +70,15 @@
	<p>		<p>
	2. Let's write the equations of Newton's second law in projection on the direction of motion for each body separately:		2. Let's write the equations of Newton's second law in projection on the direction of motion for each body separately:
	$$ \left\{\begin{matrix}		$$ \left\{\begin{matrix}
	m_1g\,sin\,\alpha-T=m_1a_1 & \\		m_1g\,\sin \alpha-T=m_1a_1 & \\
	m_1g\,sin\,\alpha+T-F_т=m_2a_2 &		m_1g\,\sin \alpha+T-F_т=m_2a_2 &
	\end{matrix}\right. $$		\end{matrix}\right. $$

	$$ a_1=a_2 $$		$$ a_1=a_2 $$

	$$ m_1=m_2 $$		$$ m_1=m_2 $$

	$$ mg\,sin~~\,\alpha~~+T-F_т=mg\,sin\,\alpha-T $$		$$ mg\,\sin \alpha+T-F_т=mg\,\sin \alpha-T $$

	$$ F_т=2T $$		$$ F_т=2T $$
	</p>		</p>
	</p>		</p>

	<h4>Answer</h4>		<h4>Answer</h4>
	<p>		<p>
	$$F = 2T$$		$$F = 2T$$
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