For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through $O$ (the centre of mass) and ${\mathrm{O}}^{\mathrm{\text{'}}}$  (corner point) is:

<p><strong>Sol.&nbsp;<math><mrow></mrow><mi>m</mi><mo> (</mo><mi>L</mi><mo>)</mo><mo>=</mo><msub><mrow><mrow><mi>m</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub><msub><mrow><mrow><mi>S</mi></mrow></mrow><mrow><mrow><mn>1</mn></mrow></mrow></msub><mo> (</mo><mi mathvariant="normal">Δ</mi><mi>T</mi><mo>)</mo></math></strong></p><p><strong><math><mo>⇒</mo><mi mathvariant="normal">m</mi><mfenced separators="|"><mrow><mrow><mn>3.4</mn><mo>×</mo><msup><mrow><mrow><mn>10</mn></mrow></mrow><mrow><mrow><mn>5</mn></mrow></mrow></msup></mrow></mrow></mfenced><mo>=</mo><mo> (</mo><mn>200</mn><mo>)</mo><mo> (</mo><mn>4200</mn><mo>)</mo><mo> (</mo><mn>25</mn><mo>)</mo></math></strong></p><p><strong><math><mo>⇒</mo><mi mathvariant="normal">m</mi><mo>=</mo><mn>61.7</mn></math></strong></p>

0 Upvotes 0 Upvotes 0 Downvotes

• • Report Abuse
• Comment