GATE Exam  >  GATE Questions  >  The moment of inertia of pairs of solid spher... Start Learning for Free
The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact is βmr2. The value of β is ______ . (Upto one decimal place)
    Correct answer is '2.8'. Can you explain this answer?
    Verified Answer
    The moment of inertia of pairs of solid sphere each having mass m radi...

    View all questions of this test
    Most Upvoted Answer
    The moment of inertia of pairs of solid sphere each having mass m radi...
    The moment of inertia of a solid sphere about an axis passing through its center is given by the formula:

    I = (2/5) * m * r^2

    Since the spheres are in contact about a tangent passing through the point of contact, the combined moment of inertia can be found by adding the individual moments of inertia:

    I_total = I_sphere1 + I_sphere2

    I_total = (2/5) * m * r^2 + (2/5) * m * r^2

    I_total = (4/5) * m * r^2

    Therefore, the moment of inertia of the pair of solid spheres is (4/5) * m * r^2.
    Explore Courses for GATE exam
    The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer?
    Question Description
    The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer?.
    Solutions for The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
    Here you can find the meaning of The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer?, a detailed solution for The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer? has been provided alongside types of The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The moment of inertia of pairs of solid sphere each having mass m radius r kept in contact about a tangent passing through the point of contact isβmr2. The value ofβis ______ . (Upto one decimal place)Correct answer is '2.8'. Can you explain this answer? tests, examples and also practice GATE tests.
    Explore Courses for GATE exam
    Signup for Free!
    Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
    10M+ students study on EduRev