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Physics - Rotation Question with Solution | TestHub

PhysicsRotationCalculation of M.I.Medium2 minQB

PhysicsMediummultiple choice

A uniform thin plate of density $ρ kg / m^{3}$ is shown in the figure. Then which of the following statements is/are correct?

Options:(select one or more)

Answer:

A, C

Solution:

About the y-axis: $I_{y} = 2 \int ρ y d x x^{2} = 2 \int_{0}^{a} 2 ρ x^{4} d x = \frac{4 ρ a ^{5}}{5}$ About the x-axis: $I_{x} = \frac{2}{3} \int ρ y d x y^{2} = \frac{16 ρ a ^{7}}{21}$

Hence the statements giving $I_{y} = \frac{4 ρ a ^{5}}{5}$ and $I_{x} = \frac{16 ρ a ^{7}}{21}$ are correct: A and C.

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

⏱ 2mℹ️ Source: QB

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