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Unformatted text preview: The disc and stick A disc of mass 2 kg slides with velocity 3 m/s along a frictionless ice surface, and hits a stationary stick of total length 4 m and mass 1 kg. The impact is at right angles to the stick, exactly at one end. The impact is elastic, and, afterwards, the disc continues to move in its original direction. y t 3 m/s- 6 ? 4 m y t- u- U 6 ω Useful information: a stick of mass M and length 2 L has a moment of inertia about a perpendicular axis through its centre of I C = 1 3 ML 2 . For the present problem, this gives I C = 4 / 3 kg-m 2 . The problem is to find the velocity of the disc, u , and of the centre of mass of the stick, U , as well as the angular velocity ω of the stick around its centre of mass, all after the collision. Three unknowns. We use • Conservation of momentum. • Conservation of energy. • Conservation of angular momentum about the CofM in the CofM frame....
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