A uniform thin rod of length 6 m and mass 6.0 kg can rotate in a horizontal plane about a vertical axis through its center A. It has rotational inertia 18 kgm? about the axis through A. The rod is at rest when a 100 g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As viewed from the top, the direction of the bullet's velocity makes an angle of 30° with the rod. If the bullet stays in the rod and the angular velocity of the rod is 10 rad/s just after collision, what is the magnitude of the bullet's velocity just before impact ? (sin 30°=0.5. cos 30*=0.86, g-10 m/s) Rod 30 Bullet

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Chapter11: Angular Momentum
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A uniform thin rod of length 6 m and mass 6.0 kg can rotate in a horizontal plane about a vertical axis through its center A. It has rotational inertia 18
kgm2 about the axis through A. The rod is at rest when a 100 g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As
viewed from the top, the direction of the bullet's velocity makes an angle of 30° with the rod. If the bullet stays in the rod and the angular velocity of
the rod is 10 rad/s just after collision, what is the magnitude of the bullet's velocity just before impact ? (sin 30°=0.5, cos 30°=0.86. g=10 m/s²)
Rod
A
30
Bullet
Transcribed Image Text:A uniform thin rod of length 6 m and mass 6.0 kg can rotate in a horizontal plane about a vertical axis through its center A. It has rotational inertia 18 kgm2 about the axis through A. The rod is at rest when a 100 g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As viewed from the top, the direction of the bullet's velocity makes an angle of 30° with the rod. If the bullet stays in the rod and the angular velocity of the rod is 10 rad/s just after collision, what is the magnitude of the bullet's velocity just before impact ? (sin 30°=0.5, cos 30°=0.86. g=10 m/s²) Rod A 30 Bullet
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