TS EAMCET · Physics · Rotational Motion
Three bodies, a ring, a solid disc and a solid sphere roll down the same inclined plane without slipping. The radii of the bodies are Identical and they start from rest. If \(V_S, V_R\) and \(V_D\) are the speeds of the sphere, ring and disc, respectively when they reach the bottom, then the correct option is
- A \(V_S>V_R>V_D\)
- B \(V_D>V_S>V_R\)
- C \(V_R>V_D>V_S\)
- D \(V_S>V_D>V_R\)
Answer & Solution
Correct Answer
(D) \(V_S>V_D>V_R\)
Step-by-step Solution
Detailed explanation
Given, radii of ring, solid disc and solid sphere are identical, say \(R\) When a body of mass \(m\) starting from rest rolls down an incined plane, then the velocity of body when it reaches at the ground is given by \[ v=\sqrt{\frac{2 g h}{1+\frac{k^2}{R^2}}} \] where, \(h=\)…
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