TS EAMCET · Physics · Oscillations
A circular hoop of radius and mass rotating with an angular velocity is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. Let be the velocity of the centre of the hoop when it ceases to slip. The ratio will be
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Initial angular momentum of the loop about contact point is, Li=mr2ω0 Final angular momentum about contact point is, Lf=mrv+mr2ω ⇒Lf=mrv+mr2vr ⇒Lf=mrv+mrv=2mrv Since torque bout contact point is zero, so Li=Lf ⇒mr2ω0=2mrv ⇒rω0=2v…
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