A projectile is fired at an evenly thick rod that can swing frictionlessly about an axis A. The length of the rod is I, the axis of rotation A to the rod is at a distance 1/4 from the upper end of the rod, and the bullet with mass m = 15g is fired horizontally towards the rod at a distance of 31/4 from upper end of the rod. The total mass of the rod is M = 350g and the length I is 1.0 m. See figure below for illustration. 1/4 AC 31/4 M m v The projectile is fired at the bar at a speed v = 100 m/s and hits the bar in one completely inelastic collision (ie, the projectile is stuck in the rod). a) Find the moment of inertia of the rod about rotary shaft A. 3

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Chapter11: Angular Momentum
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A projectile is fired at an evenly thick rod that can swing frictionlessly about an axis A. The length of
the rod is I, the axis of rotation A to the rod is at a distance I/4 from the upper end of the rod, and the
bullet with mass m = 15g is fired horizontally towards the rod at a distance of 31/4 from upper end of
the rod. The total mass of the rod is M = 350g and the length I is 1.0 m.
See figure below for illustration.
1/4
A [
|31/4
M
m v
The projectile is fired at the bar at a speed v = 100 m/s and hits the bar in one
completely inelastic collision (ie, the projectile is stuck in the rod).
a) Find the moment of inertia of the rod about rotary shaft A.
b) What is the angular velocity of a projectile bar right after the collision?
Transcribed Image Text:A projectile is fired at an evenly thick rod that can swing frictionlessly about an axis A. The length of the rod is I, the axis of rotation A to the rod is at a distance I/4 from the upper end of the rod, and the bullet with mass m = 15g is fired horizontally towards the rod at a distance of 31/4 from upper end of the rod. The total mass of the rod is M = 350g and the length I is 1.0 m. See figure below for illustration. 1/4 A [ |31/4 M m v The projectile is fired at the bar at a speed v = 100 m/s and hits the bar in one completely inelastic collision (ie, the projectile is stuck in the rod). a) Find the moment of inertia of the rod about rotary shaft A. b) What is the angular velocity of a projectile bar right after the collision?
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