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The moment of inertia of a thin square plate ABCD, Fig., of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate is
wh ere I1, I 2 , I3 andI4 are respectively the momen ts of intertial about axis 1, 2, 3 and 4 which are in the plane of the plate.
  • a)
    I1 +I2
  • b)
    I3 +I4
  • c)
    I1 +I3
  • d)
    I1 + I 2 + I3+I4
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
The moment of inertia of a thin square plate ABCD, Fig., of uniform th...
To find the moment of inertia of ABCD about an axis passing through the centre O and perpendicular to the plane of the plate, we use perpendicular axis theorem. If we consider ABCD to be in the X-Y plane then we know that
Also, Izz' = I3 + I4
Adding (i) and (ii),
But I1 = I2 and I3 = I4
(By symmetry)
 
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The moment of inertia of a thin square plate ABCD, Fig., of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate iswh ere I1, I 2 , I3 andI4 are respectively the momen ts of intertial about axis 1, 2, 3 and 4 which are in the plane of the plate.a)I1 +I2b)I3 +I4c)I1 +I3d)I1 + I 2 + I3+I4Correct answer is option 'A,B,C'. Can you explain this answer?
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The moment of inertia of a thin square plate ABCD, Fig., of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate iswh ere I1, I 2 , I3 andI4 are respectively the momen ts of intertial about axis 1, 2, 3 and 4 which are in the plane of the plate.a)I1 +I2b)I3 +I4c)I1 +I3d)I1 + I 2 + I3+I4Correct answer is option 'A,B,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The moment of inertia of a thin square plate ABCD, Fig., of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate iswh ere I1, I 2 , I3 andI4 are respectively the momen ts of intertial about axis 1, 2, 3 and 4 which are in the plane of the plate.a)I1 +I2b)I3 +I4c)I1 +I3d)I1 + I 2 + I3+I4Correct answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moment of inertia of a thin square plate ABCD, Fig., of uniform thickness about an axis passing through the centre O and perpendicular to the plane of the plate iswh ere I1, I 2 , I3 andI4 are respectively the momen ts of intertial about axis 1, 2, 3 and 4 which are in the plane of the plate.a)I1 +I2b)I3 +I4c)I1 +I3d)I1 + I 2 + I3+I4Correct answer is option 'A,B,C'. Can you explain this answer?.
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