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Number 22 a,b,c

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22. Avertical thin rigid bar with a length of 3.2 m and mass of 0.75 kg, is pivoted at its top end. The bar is free to rotate in a vertical plane about a horizontal axis through the pivot. Axis O—' A point particle of mass 0.5 kg is moving with a speed of 3.9 m/s perpendicular to the end of the rod. It
collides with the end of the rod and gets stuck in it. The system then starts to rotate about the horizontal axis. a. What is the angular velocity of the system immediately after the impact? [3 marks]

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a Applying Lawd Conservation
& angular momentum about Axis
of rotation hof (hinge )
MIVe =
( I , + I , ) W
0 ' 5 X 3 . 9 x 3 - 2 = / me t me JW
6- 2 4 - 10 . 7 5 x ( 2) + 0.582) JW
3
W = 0. 81...

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