Flag Mechanics> Inertial frames...
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<p class="MsoNormal" style="line-height: 19.2pt; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 9pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">A particle tied to one of the ends of a string is being rotated about the other end of the string. Which of the following statements is (are) true for an observer who is located at the axis of rotation and rotating along with the string?</span></p><p class="MsoNormal" style="line-height: 19.2pt; margin: 0cm 0cm 10pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 9pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">Choose at least one answer. </span></p><table class="MsoNormalTable" style="border-collapse: collapse; mso-yfti-tbllook: 1184;" border="0" cellspacing="0" cellpadding="0"><tbody><tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes;"><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">&nbsp;</span><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">1.</span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">Centrifugal force acts on the particle away from the axis of rotation </span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;">&nbsp;</td></tr><tr style="mso-yfti-irow: 1;"><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">&nbsp;</span><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">2.</span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">No net force (pseudo + real) acts on the particle </span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;">&nbsp;</td></tr><tr style="mso-yfti-irow: 2;"><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">&nbsp;</span><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">3.</span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">Centrifugal force acts on the particle towards the axis of rotation </span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;">&nbsp;</td></tr><tr style="mso-yfti-irow: 3;"><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">&nbsp;</span><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">4.</span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">Coriolis force acts on the particle towards the axis of rotation </span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;">&nbsp;</td></tr><tr style="mso-yfti-irow: 4; mso-yfti-lastrow: yes;"><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">&nbsp;</span><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">5.</span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;"><p class="MsoNormal" style="line-height: normal; margin: 0cm 0cm 0pt;"><span style="font-family: &quot;Verdana&quot;,&quot;sans-serif&quot;; color: #333333; font-size: 12pt; mso-fareast-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-fareast-language: EN-IN;">The tension in the string provides for the centripetal acceleration </span></p></td><td style="background-color: transparent; border: #f0f0f0; padding: 0.75pt;">&nbsp;</td></tr></tbody></table>

Vaibhav Mathur , 14 Years ago
Grade 12
anser 1 Answers
Puneet Mittal AskiitiansExpert-IITD

Last Activity: 14 Years ago

Hi Vaibhav,

Since the observer is rotating along with the string therefore the the frame of reference is an acclerated frame of reference.

He will observe that Particle is not in motion.

According to him a real force ( tension in string ) will act towards the axis of rotation and pseudo force ( centrifugal force because we are in accelarated frame of reference ) will act away from the axis of rotation.

These two forces will balance each other and particle will not be in motion according to the observer.

So the answer 2 is correct. ( no net force ( pseuod + real ) acts on the particle.

Please feel free to ask as many questions u have.

Puneet

 

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