A pendulum consists of a bob of mass kg and a massless inextensible string of length m. It is suspended from a fixed point at height m above a frictionless horizontal floor. Initially the bob lies

Question

A pendulum consists of a bob of mass  kg and a massless inextensible string of length  m. It is suspended from a fixed point at height  m above a frictionless horizontal floor. Initially the bob lies on the floor at rest, vertically below the point of suspension. A horizontal impulse  kg·m/s is imparted to the bob. After it slides some distance the string becomes taut and the bob lifts off the floor. The magnitude of the angular momentum of the pendulum about the point of suspension just before the bob lifts off is  kg·m²/s.

The value of  is

Canvas Classes · Accepted Answer

🎯
- Bob gets impulse  kg·m/s on the floor; find the angular momentum  about the suspension just before it lifts off.

💡 The bob slides horizontally at  at floor level; its angular momentum about the suspension is  (perpendicular distance ).

✏️
 m/s
 kg·m²/s

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