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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Medium2 minPYQ_2022

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Five solid spheres each of mass $m$ and radius $r$ are rotating about an axis $A$ as shown in figure. Hence the moment of inertia of the system about the axis of rotation A-A' as shown in figure. Hence the moment of inertia of the system about the axis of rotation A-A' is

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Answer:

Solution:

Moment of inertia of a sphere about diameter is $\frac{2}{5} m r^{2}$ Moment of inertia of a sphere about it tangent using parallel axis theorem $I = I_{am} + m r^{2} = \frac{2}{5} m r^{2} + m r^{2} = \frac{7}{5} m r^{2} I_{total} = 3 (\frac{2}{5} m r^{2}) + 2 (\frac{7}{5} m r^{2}) = \frac{20}{5} m r^{2} = 4 m r^{2}$

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

⏱ 2mℹ️ Source: PYQ_2022

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