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| 1. |
Three point-mases m_(1),m_(2)andm_(3) are located at the vertices of an equilateral triangle of side a. What is the moment of inertia of the system about an axis along the altitude of the triangle passing through m_(1)? |
| Answer» <html><body><p>`(m_(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)+m_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>))(a^(2))/(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)` <br/>`(m_(1)+m_(2)+m_(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>))(a^(2))/(4)` <br/>`(m_(2)+m_(3))(a^(2))/(4)` <br/>`(m_(1)+m_(3))(a^(2))/(4)` </p>Solution :`I_(AD)=m_(1)xx0^(2)+m_(2)xxBD^(2)+m_(3)xxCD^(2)` <br/> `=0+m_(2)((a)/(2))^(2)+m_(3)((a)/(2))^(2)` <br/> `I_(AD)=(m_(2)+m_(3))(a^(2))/(4)` <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/MOD_RPA_OBJ_PHY_C06_E01_057_S01.png" width="80%"/></body></html> | |