Ball on String — BreakingHardQuestion 30646
Question
A ball (0.2 kg) is swung in a horizontal circle (r = 1 m). String breaks at tension 25 N. Maximum angular velocity before breaking: (g = 10)
- A10 rad/s
- B√125 rad/s
- C√120 rad/sCorrect
- D5 rad/s
Correct answer
√120 rad/s
Explanation
String tension provides centripetal force: T = mω²r (if horizontal, ignoring gravity) → ω = √(T/mr) = √(25/0.2) = √125 ≈ 11.18 rad/s. If conical angle is involved, ω_max = √(T−mg cosθ)/(mL sinθ)...