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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Medium2 minQB

PhysicsMediumsingle choice

One quarter sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

Options:

Answer:

Solution:

Four such sectors make a full disc of mass 4M

$I_{d i sc} = \frac{( 4 M ) R ^{2}}{2} = 2 M R^{2}$

By symmetry each sector has one fourth

$I = \frac{2 M R ^{2}}{4} = \frac{1}{2} M R^{2}$

Answer: A

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

⏱ 2mℹ️ Source: QB

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