SATHEE: Rotational Motion Question 198

Rotational Motion Question 198

Question: Consider a uniform square plate of side ‘a’ and mass ’m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its comers is

Options:

A) $\frac{5}{6} m a^{2}$

B) $\frac{1}{12} m a^{2}$

C) $\frac{7}{12} m a^{2}$

D) $\frac{2}{3} m a^{2}$

Show Answer

Answer:

Correct Answer: D

Solution:

[d]

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

$∴ I^{'} y_{1} = \frac{M R^{2}}{4} + M R^{2} = \frac{5}{4} M R^{2} .$

$I_{y_{2}} = \frac{M R^{2}}{2}$

$∴ I_{y_{2}}^{'} = \frac{M R^{2}}{2} + M R^{2} = \frac{3}{2} M R^{2}$

$I^{'} y_{1} = M K_{1}^{2}, I^{'} y_{2} = M K_{2}^{2}$

$∴ \frac{K_{1}^{2}}{K_{2}^{2}} = \frac{I_{y_{1}}^{'}}{I^{'} y_{2}} \Rightarrow K_{1} : K_{2} = \sqrt{5} : \sqrt{6}$

Rotational Motion Question 198

Question: Consider a uniform square plate of side ‘a’ and mass ’m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its comers is

Options:

Answer:

Solution:

Engineering Preparation

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NCERT Books & Solutions

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Rotational Motion Question 198

Question: Consider a uniform square plate of side ‘a’ and mass ’m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its comers is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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