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TS EAMCET · Physics · Rotational Motion

A solid sphere and a solid cylinder, each of mass \(M\) and radius \(R\) are rolling with a linear speed on a flat surface without slipping. Let \(L_1\) be magnitude of the angular momentum of the sphere with respect to a fixed point along the path of the sphere. Likewise \(L_2\) be the magnitude of angular momentum of the cylinder with respect to the same fixed point along its path. The ratio \(\frac{L_1}{L_2}\) is

  1. A \(\frac{14}{15}\)
  2. B \(\frac{4}{5}\)
  3. C \(\frac{2}{5}\)
  4. D \(\frac{7}{15}\)
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Answer & Solution

Correct Answer

(A) \(\frac{14}{15}\)

Step-by-step Solution

Detailed explanation

We take origin as fixed point. Now, angular momentum about origin \(O=\) angular momentum due to linear motion of centre of mass + angular momentum due to rotation of body about its' centre of mass…
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