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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Easy2 minPYQ_2020

PhysicsEasynumerical

A disc of mass $m$ and radius $R$ is attached to a rectangular plate of the same mass, breadth $R$ and length $2 R$ as shown in figure. The moment of inertia of the system about the axis $AB$ passing through the centre of the disc and along the plane is $Ι = \frac{1}{α} (\frac{31}{3} m R^{2})$ , where value of $α$ is

Answer:

4.00

Solution:

$Ι_{A B} = Ι_{d i s c} + Ι_{p l a t e} + M {(\frac{3 R}{2})}^{2}$ (From Parallel Axis Theorem)
$= \frac{1}{4} M R^{2} + \frac{M R^{2}}{12} + M {(\frac{3 R}{2})}^{2}$
$= \frac{31}{12} M R^{2}$

Subject:PhysicsTopic:RotationSubtopic:Calculation of M.I.

⏱ 2mℹ️ Source: PYQ_2020

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