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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Easy2 minPYQ_2020

PhysicsEasysingle choice

Two circular rings 'A' and 'B' of radii 'nR' and 'R' are made from the same wire. The moment of inertia of 'A' about an axis passing through the centre and perpendicular to the plane of 'A' is 64 times that of the ring 'B'. The value of ' $n$ ' is

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Answer:

Solution:

$\frac{I _{A}}{I _{B}} = \frac{64}{1}$ $64 = \frac{m _{A} r _{A}^{2}}{m _{B} r _{B}^{2}} = \frac{2 π r _{A}}{2 π r _{B}} \frac{r _{A}^{2}}{r _{B}^{2}} = \frac{r _{A}^{3}}{r _{B}^{3}} = n^{3}$ $∴ n = 4$

Stream:MHT_CETSubject:PhysicsTopic:RotationSubtopic:Calculation of M.I.

⏱ 2mℹ️ Source: PYQ_2020

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