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The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:
a)16 cm
b)9 cm
c)15 cm
d)25 cm
Correct answer is option 'D'. Can you explain this answer?
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The radius of gyration of body about the centre of mass is 24 cm. Then...
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The radius of gyration of body about the centre of mass is 24 cm. Then...
Given: radius of gyration about center of mass = 24 cm, distance of axis from center of mass = 7 cm
To find: radius of gyration about the given axis
Formula: The parallel axis theorem states that the moment of inertia of a body about any axis is equal to the moment of inertia of the body about a parallel axis passing through the center of mass plus the product of the mass of the body and the square of the distance between the two axes.
Using the formula, we can find the moment of inertia of the body about the given axis:
I = Icm + md²
where Icm is the moment of inertia about the center of mass, m is the mass of the body and d is the distance between the two axes.
Let's assume the mass of the body to be 1 kg.
Icm = mk², where k is the radius of gyration about the center of mass.
Therefore, Icm = 1 * (0.24)² = 0.0576 kgm²
d = 0.07 m
So, I = 0.0576 + 1 * (0.07)² = 0.0641 kgm²
The radius of gyration about the given axis (k') is given by:
k' = sqrt(I/m) = sqrt(0.0641/1) = 0.253 m = 25.3 cm
Therefore, the correct answer is option D) 25 cm.
To find: radius of gyration about the given axis
Formula: The parallel axis theorem states that the moment of inertia of a body about any axis is equal to the moment of inertia of the body about a parallel axis passing through the center of mass plus the product of the mass of the body and the square of the distance between the two axes.
Using the formula, we can find the moment of inertia of the body about the given axis:
I = Icm + md²
where Icm is the moment of inertia about the center of mass, m is the mass of the body and d is the distance between the two axes.
Let's assume the mass of the body to be 1 kg.
Icm = mk², where k is the radius of gyration about the center of mass.
Therefore, Icm = 1 * (0.24)² = 0.0576 kgm²
d = 0.07 m
So, I = 0.0576 + 1 * (0.07)² = 0.0641 kgm²
The radius of gyration about the given axis (k') is given by:
k' = sqrt(I/m) = sqrt(0.0641/1) = 0.253 m = 25.3 cm
Therefore, the correct answer is option D) 25 cm.
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The radius of gyration of body about the centre of mass is 24 cm. Then...
Ans will be (D) but here the value of center of mass not given
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The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer?
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The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer?.
The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer?.
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The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The radius of gyration of body about the centre of mass is 24 cm. Then radius of gyration of body about an axis parallel to the axis passing through the centre of mass and at a distance 7 cm from the centre of mass is:a)16 cmb)9 cmc)15 cmd)25 cmCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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