Olympiad workbook
- Exam
- Olympiad workbook
- Subject
- NSEP
- Chapter
- Rotational Motion
Olympiad workbook · NSEP · Rotational Motion
A solid hemisphere is cemented on the flat surface of a solid...
A solid hemisphere is cemented on the flat surface of a solid cylinder of same radius and same material. The composite body is rotating about the axis of the cylinder of length with angular speed . The radius of gyration K is
Options
- A\mathrm{R} \sqrt{\frac{2}{5}\left(\frac{15 \mathrm{R}+8 \ell}{3 \mathrm{R}+2 \ell}\right)}
- B\mathrm{R} \sqrt{\frac{1}{10}\left(\frac{15 \ell+8 \mathrm{R}}{3 \ell+2 \mathrm{R}}\right)}
- C\mathrm{R} \sqrt{\frac{3}{10}\left(\frac{15 \mathrm{R}+8 \ell}{3 \mathrm{R}+2 \ell}\right)}
- D\mathrm{R} \sqrt{\frac{1}{10}\left(\frac{3 \ell+2 \mathrm{R}}{15 \ell+8 \mathrm{R}}\right)}
Correct answer
B. \mathrm{R} \sqrt{\frac{1}{10}\left(\frac{15 \ell+8 \mathrm{R}}{3 \ell+2 \mathrm{R}}\right)}
Step-by-step solution
No solution