AP EAMCET · PHYSICS · Oscillations
A solid sphere of mass \(M\) and radius \(R\) is attached to a spring of negligible mass kept on a horizontal plane such that it can roll without slipping. The sphere is made to execute SHM by stretching through a distance and released, then the time period of such oscillation is \((\mathrm{K}=\) spring constant \()\)
- A \(2 \pi \sqrt{\frac{3 \mathrm{M}}{2 \mathrm{~K}}}\)
- B \(2 \pi \sqrt{\frac{5 \mathrm{~K}}{7 \mathrm{M}}}\)
- C \(2 \pi \sqrt{\frac{7 \mathrm{M}}{5 \mathrm{~K}}}\)
- D \(2 \pi \sqrt{\frac{3 \mathrm{~K}}{2 \mathrm{M}}}\)
Answer & Solution
Correct Answer
(C) \(2 \pi \sqrt{\frac{7 \mathrm{M}}{5 \mathrm{~K}}}\)
Step-by-step Solution
Detailed explanation
Total energy \(=\mathrm{E}=\frac{1}{2} \mathrm{mV} V^2+\frac{1}{2} \mathrm{I} \omega^2+\frac{1}{2} \mathrm{Kx}^2\)…
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