Bài 32. Lực hướng tâm và gia tốc hướng tâm
Hướng dẫn giải Câu hỏi 2 (Trang 123 SGK Vật lí 10, Bộ Kết nối tri thức)
<p><em><strong>T&igrave;m th&ecirc;m v&iacute; dụ về lực hướng t&acirc;m.</strong></em></p> <p><span style="text-decoration: underline;"><em><strong>Lời giải:</strong></em></span></p> <p>V&iacute; dụ 1: Chiếc m&aacute;y bay đang lượn v&ograve;ng. Để chuyển hướng, người phi c&ocirc;ng l&agrave;m nghi&ecirc;ng c&aacute;nh m&aacute;y bay.</p> <p><img src="https://vietjack.com/vat-li-10-kn/images/cau-hoi-trang-123-vat-li-10-132390.PNG" alt="T&igrave;m th&ecirc;m v&iacute; dụ về lực hướng t&acirc;m" width="288" height="201" /></p> <p>M&aacute;y bay chịu t&aacute;c dụng của trọng lực&nbsp;<span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mover accent=&quot;true&quot;&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;mo&gt;&amp;#x2192;&lt;/mo&gt;&lt;/mover&gt;&lt;/math&gt;"><span id="MJXc-Node-1" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-mover"><span class="mjx-stack"><span class="mjx-over"><span id="MJXc-Node-5" class="mjx-mo"></span></span></span></span></span></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mi>P</mi><mo>&rarr;</mo></mover></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mover accent="true"><mo></mo></mover></math></span>, lực n&acirc;ng của kh&ocirc;ng kh&iacute;&nbsp;<span id="MathJax-Element-2-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mover accent=&quot;true&quot;&gt;&lt;mi&gt;N&lt;/mi&gt;&lt;mo&gt;&amp;#x2192;&lt;/mo&gt;&lt;/mover&gt;&lt;/math&gt;"><span id="MJXc-Node-6" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-7" class="mjx-mrow"><span id="MJXc-Node-8" class="mjx-mover"><span class="mjx-stack"><span class="mjx-over"><span id="MJXc-Node-10" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R"><math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mi>N</mi><mo>&rarr;</mo></mover></math></span></span></span></span></span></span></span></span>, ngo&agrave;i ra c&ograve;n c&oacute; lực của</p> <p>động cơ m&aacute;y bay&nbsp;<span id="MathJax-Element-3-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mover accent=&quot;true&quot;&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;mo&gt;&amp;#x2192;&lt;/mo&gt;&lt;/mover&gt;&lt;/math&gt;"><span id="MJXc-Node-11" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-12" class="mjx-mrow"><span id="MJXc-Node-13" class="mjx-mover"><span class="mjx-stack"><span class="mjx-over"><span id="MJXc-Node-15" class="mjx-mo"></span></span></span></span></span></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mi>F</mi><mo>&rarr;</mo></mover></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mover accent="true"><mo></mo></mover></math></span>, phản lực của kh&ocirc;ng kh&iacute;&nbsp;<span id="MathJax-Element-4-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mover accent=&quot;true&quot;&gt;&lt;mi&gt;Q&lt;/mi&gt;&lt;mo&gt;&amp;#x2192;&lt;/mo&gt;&lt;/mover&gt;&lt;/math&gt;"><span id="MJXc-Node-16" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-17" class="mjx-mrow"><span id="MJXc-Node-18" class="mjx-mover"><span class="mjx-stack"><span class="mjx-over"><span id="MJXc-Node-20" class="mjx-mo"></span></span></span></span></span></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mi>Q</mi><mo>&rarr;</mo></mover></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mover accent="true"><mo></mo></mover></math></span>&nbsp;tuy nhi&ecirc;n 2 lực&nbsp;<span id="MathJax-Element-5-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mover accent=&quot;true&quot;&gt;&lt;mi&gt;P&lt;/mi&gt;&lt;mo&gt;&amp;#x2192;&lt;/mo&gt;&lt;/mover&gt;&lt;/math&gt;"><span id="MJXc-Node-21" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-22" class="mjx-mrow"><span id="MJXc-Node-23" class="mjx-mover"><span class="mjx-stack"><span class="mjx-over"><span id="MJXc-Node-25" class="mjx-mo"></span></span></span></span></span></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mi>P</mi><mo>&rarr;</mo></mover></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mover accent="true"><mo></mo></mover></math></span>&nbsp;v&agrave;&nbsp;<span id="MathJax-Element-6-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mover accent=&quot;true&quot;&gt;&lt;mi&gt;Q&lt;/mi&gt;&lt;mo&gt;&amp;#x2192;&lt;/mo&gt;&lt;/mover&gt;&lt;/math&gt;"><span id="MJXc-Node-26" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-27" class="mjx-mrow"><span id="MJXc-Node-28" class="mjx-mover"><span class="mjx-stack"><span class="mjx-over"><span id="MJXc-Node-30" class="mjx-mo"></span></span></span></span></span></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mover><mi>Q</mi><mo>&rarr;</mo></mover></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mover accent="true"><mo></mo></mover></math></span>&nbsp;kh&ocirc;ng đ&oacute;ng vai</p> <p>tr&ograve; lực hướng t&acirc;m (v&igrave; 2 lực n&agrave;y c&oacute; phương vu&ocirc;ng g&oacute;c với mặt phẳng h&igrave;nh vẽ).</p> <p>Trong trường hợp n&agrave;y th&agrave;nh phần vu&ocirc;ng g&oacute;c theo phương ngang của lực n&acirc;ng N (mũi t&ecirc;n m&agrave;u</p> <p>đen) đ&oacute;ng vai tr&ograve; lực hướng t&acirc;m c&oacute; độ lớn: N.cos&alpha; =&nbsp;<span id="MathJax-Element-7-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;msup&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mfrac&gt;&lt;/math&gt;"><span id="MJXc-Node-31" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-32" class="mjx-mrow"><span id="MJXc-Node-33" class="mjx-mfrac"><span class="mjx-box MJXc-stacked"><span class="mjx-numerator"><span id="MJXc-Node-34" class="mjx-mrow"><span id="MJXc-Node-35" class="mjx-mi"></span></span></span></span></span></span></span></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>m</mi><msup><mi>v</mi><mn>2</mn></msup></mrow><mi>r</mi></mfrac></math></p> <p>V&iacute; dụ 2. Một vi&ecirc;n đ&aacute; được buộc v&agrave;o một sợi d&acirc;y v&agrave; quay tr&ograve;n trong mặt phẳng ngang tạo th&agrave;nh</p> <p>h&igrave;nh n&oacute;n.</p> <p><img src="https://vietjack.com/vat-li-10-kn/images/cau-hoi-trang-123-vat-li-10-132391.PNG" alt="T&igrave;m th&ecirc;m v&iacute; dụ về lực hướng t&acirc;m" width="239" height="214" /></p> <p>Vi&ecirc;n đ&aacute; chịu t&aacute;c dụng của trọng lực P, lực căng d&acirc;y T.</p> <p>Th&agrave;nh phần nằm ngang (mũi t&ecirc;n m&agrave;u đen) của lực căng d&acirc;y đ&oacute;ng vai tr&ograve; lực hướng t&acirc;m</p> <p>c&oacute; độ lớn: T.cos&alpha; =&nbsp;<span id="MathJax-Element-8-Frame" class="mjx-chtml MathJax_CHTML" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 21.78px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;" tabindex="0" role="presentation" data-mathml="&lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;msup&gt;&lt;mi&gt;v&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/mfrac&gt;&lt;/math&gt;"><span id="MJXc-Node-40" class="mjx-math" aria-hidden="true"><span id="MJXc-Node-41" class="mjx-mrow"><span id="MJXc-Node-42" class="mjx-mfrac"><span class="mjx-box MJXc-stacked"><span class="mjx-numerator"><span id="MJXc-Node-43" class="mjx-mrow"><span id="MJXc-Node-44" class="mjx-mi"></span></span></span><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>m</mi><msup><mi>v</mi><mn>2</mn></msup></mrow><mi>r</mi></mfrac></math><span class="mjx-denominator"><span id="MJXc-Node-48" class="mjx-mi"></span></span></span></span></span></span></span></p>
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