Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A sphere of mass $10 \mathrm{~kg}$ and radius $0.5 \mathrm{~m}$ rotates about a tangent. The moment of inertia of the sphere is
PhysicsRotational MotionAIIMSAIIMS 2016
Options:
  • A $5 \mathrm{~kg} \mathrm{~m}^2$
  • B $2.7 \mathrm{~kg} \mathrm{~m}^2$
  • C $3.5 \mathrm{~kg} \mathrm{~m}^2$
  • D $4.5 \mathrm{~kg} \mathrm{~m}^2$
Solution:
2174 Upvotes Verified Answer
The correct answer is: $3.5 \mathrm{~kg} \mathrm{~m}^2$
M.I. about tangent $=I+M R^2$
$\begin{aligned} & =\frac{2}{5} M R^2+M R^2=\frac{7}{5} M R^2 \\ & =\frac{7}{5} \times(10) \times(0.5)^2=3.5 \mathrm{~kg} \mathrm{~m}^2\end{aligned}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.