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Three rods each of mass m and length L are joined to form an equilateral triangle. What is the moment of inertia about an axis passing through the centre of mass of the system and perpendicular to the plane?
Ref: https://edurev.in/question/624630/Three-rods-each-of-mass-m-and-length-L-are-joined-to-form-an-equilateral-triangle-What-is-the-momen

Solution of Question - NEET


The moment of inertia of a single rod about an axis passing through its center and perpendicular to it is

112ML2

That of each side of the equilateral triangle about an axis passing through the triangle's center and perpendicular to its plane is

112ML2+M(L23)2=16ML2

(by the parallel axis theorem).

The moment of inertia of the triangle about this axis is then

3×16ML2=12ML2


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1. What is NEET?
Ans. NEET stands for National Eligibility cum Entrance Test. It is a national level entrance examination conducted in India for students aspiring to pursue undergraduate medical and dental courses (MBBS and BDS) in government or private colleges.
2. What is the eligibility criteria for NEET?
Ans. The eligibility criteria for NEET are as follows: - Candidates must be Indian citizens or Overseas Citizens of India (OCI). - They should be at least 17 years old at the time of admission or will complete the age on or before December 31 of the year of admission. - Candidates must have completed their 10+2 or equivalent examination with Physics, Chemistry, Biology/Biotechnology, and English as core subjects. - General category candidates must score a minimum of 50% (40% for reserved categories) in the qualifying examination.
3. How can I apply for NEET?
Ans. The application process for NEET includes the following steps: - Visit the official website of NEET. - Register yourself by providing basic details and creating a login ID. - Fill in the application form with personal, educational, and contact details. - Upload scanned copies of your photograph, signature, and other required documents. - Pay the application fee through online or offline mode. - Verify and submit the application form online. - Take a printout of the confirmation page for future reference.
4. What is the exam pattern of NEET?
Ans. The NEET exam pattern is as follows: - The exam is conducted in offline mode (pen and paper-based). - It consists of a single question paper with 180 multiple-choice questions (MCQs). - The questions are divided into three sections: Physics, Chemistry, and Biology (Botany and Zoology). - Each correct answer carries 4 marks, while 1 mark is deducted for each incorrect answer. - The total duration of the exam is 3 hours (180 minutes). - The exam is conducted in multiple languages, including English, Hindi, and regional languages.
5. How is the NEET exam score used for admission?
Ans. The NEET exam score is used for admission to undergraduate medical and dental courses across various colleges in India. The score obtained in NEET is the basis for the merit list, which is used by colleges for the allocation of seats. The counseling process is conducted by the respective state authorities or centralized counseling bodies based on the NEET score. Candidates can choose their preferred colleges and courses based on their NEET rank and availability of seats.
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