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John Palan
Asked: 2022-11-09T11:13:38+05:30 In:

The moment of inertia of a solid sphere about an axis passing through the centre radius is `1/2MR^(2)` , then its radius of gyration about a parallel axis at a distance `2R` from first axis is
A. `5R`
B. `sqrt(22/5)R`
C. `5/2R`
D. `sqrt(12/5)R`

The moment of inertia of a solid sphere about an axis passing through the centre radius is `1/2MR^(2)` , then its radius of gyration about a parallel axis at a distance `2R` from first axis is
A. `5R`
B. `sqrt(22/5)R`
C. `5/2R`
D. `sqrt(12/5)R`
Parabola
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  1. Correct Answer – b
    According to the theroem of parallel axis,
    `I=I_(CG)+M(2R)^(2)`
    where `I=I_(CG)=MI` about an axis through the centre of gravity.
    `I=2/5 MR^(2) +4MR^(2)=22/5 MR^(2)`
    or `MK^(2)=22/5MR^(2)impliesK=sqrt(22/5)R`

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Sumit Srivastava
Asked: 2022-11-04T16:32:32+05:30 In:

The moment of inertia of a solid sphere about an axis passing through the centre radius is `1/2MR^(2)` , then its radius of gyration about a parallel axis t a distance `2R` from first axis is
A. `5R`
B. `sqrt(22/5)R`
C. `5/2R`
D. `sqrt(12/5)R`

The moment of inertia of a solid sphere about an axis passing through the centre radius is `1/2MR^(2)` , then its radius of gyration about a parallel axis t a distance `2R` from first axis is
A. `5R`
B. `sqrt(22/5)R`
C. `5/2R`
D. `sqrt(12/5)R`
Parabola
Leave an answer

Leave an answer

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1 Answer

  1. Correct Answer – B
    According to the theroem of parallel axis,
    `I=I_(CG)+M(2R)^(2)`
    where `I=I_(CG)=MI` about an axis through the centre of gravity.
    `I=2/5 MR^(2) +4MR^(2)=22/5 MR^(2)`
    or `MK^(2)=22/5MR^(2)impliesK=sqrt(22/5)R`

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Ruchi Kapadia
Asked: 2022-11-04T12:55:07+05:30 In:

The moment of inertia of a solid sphere about an axis passing through its centre is `0.8kgm^2`. The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is `8` times density of first sphere, about an axis passing through its centre is
A. `0.1 kgm^(2)`
B. `0.2 kgm^(2)`
C. `0.4kgm^(2)`
D. `0.5 kgm^(2)`

The moment of inertia of a solid sphere about an axis passing through its centre is `0.8kgm^2`. The moment of inertia of another solid sphere whose mass is same as mass of first sphere, but the density is `8` times density of first sphere, about an axis passing through its centre is
A. `0.1 kgm^(2)`
B. `0.2 kgm^(2)`
C. `0.4kgm^(2)`
D. `0.5 kgm^(2)`
Parabola
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1 Answer

  1. Correct Answer – B
    Mass is same and `D prop1/(R^(3)), (I_(1))/(I_(2))=((R_(1))/(R_(2)))^(2)=((D_(2))/(D_(1)))^(2/3)`

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