Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere abou

If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then the ratio of moment of inertia of the disc about a tangent in its plane to the moment of inertia of the sphere about its tangent will be \frac{x}{7} . The the value of is _________.

Option: 1

5


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

 

\begin{aligned} & \mathrm{I}_1=\frac{2}{5} \mathrm{~m}_1 \mathrm{R}^2+\mathrm{m}_1 \mathrm{R}^2 \\ & \mathrm{I}_1=\mathrm{m}_1 \mathrm{R}^2\left(\frac{7}{5}\right) \\ & \mathrm{I}_1=7 \mathrm{R}^2 \end{aligned}

\begin{aligned} & \mathrm{I}_2=\frac{\mathrm{m}_2 \mathrm{R}^2}{4}+\mathrm{m}_2 \mathrm{R}^2 \\ & \mathrm{I}_2=\frac{5}{4} \mathrm{~m}_2 \mathrm{R}^2 \\ & \mathrm{I}_2=5 \mathrm{R}^2 \\ & \frac{\mathrm{I}_2}{\mathrm{I}_1}=\frac{5}{7} \\ & \mathrm{x}=5 \end{aligned}

Posted by

Shailly goel

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

Bihar Board extends BSEB Super 50 free coaching application last date to March 26
anam-khan

JEE Main 2025: Most important chapters for physics, chemistry, mathematics to score good marks
anam-khan

JEE Main 2025 session 2 dates clash with ISC, PSEB 12th exams; no impact on major science subjects

Latest Question