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Find the moment of inertia of a uniform rod about an axis which is perpendicular to the rod and touches any one end of the rod. |
Answer» <html><body><p></p>Solution :The concepts to form the integrand to find the moment of inertia are to be followed. Now, the <a href="https://interviewquestions.tuteehub.com/tag/origin-1139399" style="font-weight:bold;" target="_blank" title="Click to know more about ORIGIN">ORIGIN</a> is fixed to the <a href="https://interviewquestions.tuteehub.com/tag/left-1070879" style="font-weight:bold;" target="_blank" title="Click to know more about LEFT">LEFT</a> end of the rod and <a href="https://interviewquestions.tuteehub.com/tag/limits-16465" style="font-weight:bold;" target="_blank" title="Click to know more about LIMITS">LIMITS</a> are to be taken from 0 to `l`. <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/SUR_PHY_XI_V02_G_MQP_02_E03_006_S01.png" width="80%"/> <br/> `I=(M)/(l)int_(0)^(l)x^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)dx=(M)/(l)[(x^(3))/(3)]_(0)^(l)=(M)/(l)[(l^(3))/(3)] I=(1)/(3)Ml^(2)`</body></html> | |