JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
A solid sphere (\(A\)) of mass \(5m\) and a spherical shell (\(B\)) of mass \(m\), both having same radius, are placed on a rough surface. When a force of same magnitude is applied tangentially at the highest points of \(A\) and \(B\), they start rolling without slipping with an acceleration of \(a_A\) and \(a_B\), respectively. The ratio of \(a_A\) and \(a_B\) is __________.
- A \(5 : 21\)
- B \(6 : 10\)
- C \(21 : 25\)
- D \(1 : 5\)
Answer & Solution
Correct Answer
(A) \(5 : 21\)
Step-by-step Solution
Detailed explanation
For a body of mass \(M\) and radius \(R\) rolling without slipping under a force \(F\) applied tangentially at the highest point, the torque about the point of contact with the ground is \(\tau = F(2R)\). The moment of inertia about the point of contact is \(I = I_{cm} + MR^2\).…
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