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Examveda

M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

A. $$\frac{\pi }{{64}}\left( {{{\text{D}}^4} + {{\text{d}}^4}} \right)$$

B. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} - {{\text{d}}^4}} \right)$$

C. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} + {{\text{d}}^4}} \right)$$

D. $$\frac{\pi }{{32}}\left( {{{\text{D}}^4} \times {{\text{d}}^4}} \right)$$

Answer: Option B


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Related Questions on Applied Mechanics and Graphic Statics

The resultant of two forces P and Q acting at an angle $$\theta $$, is

A. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{P}}\sin \theta $$

B. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\cos \theta $$

C. $${{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\tan \theta $$

D. $$\sqrt {{{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\cos \theta } $$

E. $$\sqrt {{{\text{P}}^2} + {{\text{Q}}^2} + 2{\text{PQ}}\sin \theta } $$