TS EAMCET · Physics · Rotational Motion
A solid sphere and a thin uniform circular disc of same radius are rolling down an inclined plane without slipping. If the acceleration of the sphere is \(3 \mathrm{~ms}^{-2}\), then the acceleration of the disc is
- A \(4 \mathrm{~ms}^{-2}\)
- B \(2.8 \mathrm{~ms}^{-2}\)
- C \(3 \mathrm{~ms}^{-2}\)
- D \(3.2 \mathrm{~ms}^{-2}\)
Answer & Solution
Correct Answer
(B) \(2.8 \mathrm{~ms}^{-2}\)
Step-by-step Solution
Detailed explanation
\(a = \frac{g \sin \theta}{1 + I/MR^2}\) \(\frac{a_{disc}}{a_{sphere}} = \frac{1 + I_{sphere}/MR^2}{1 + I_{disc}/MR^2} = \frac{1 + 2/5}{1 + 1/2} = \frac{7/5}{3/2} = \frac{14}{15}\)…
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