2. Collisions and Angular Momentum Example. Consider a ball of clay with a mass of 1.5 kg thrown at a thin vertical rod of mass 6 kg and length 1 m. with its axis at the top end. The clay strikes the bottom of the rod with a speed of 4 m/s and sticks to the bar, causing the bar to rotate. Assuming no other forces are acting on the system, do the following: a) Find angular speed of the rod and ball after the collision. b) State the angular momentum of each body in the system before and after the collision. Is angular momentum conserved? c) Find the kinetic energy of the system before and after the collision. Is mechanical energy conserved?

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Chapter1: Units, Trigonometry. And Vectors
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3.
2. Collisions and Angular Momentum Example.
Consider a ball of clay with a mass of 1.5 kg thrown at a thin vertical rod of mass 6 kg and length
1 m. with its axis at the top end. The clay strikes the bottom of the rod with a speed of 4 m/s
and sticks to the bar, causing the bar to rotate, Assuming no other forces are acting on the
system, do the following:
a) Find angular speed of the rod and ball after the collision.
b) State the angular momentum of each body in the system before and after the collision.
Is angular momentum conserved?
c) Find the kinetic energy of the system before and after the collision. Is mechanical
energy conserved?
Transcribed Image Text:3. 2. Collisions and Angular Momentum Example. Consider a ball of clay with a mass of 1.5 kg thrown at a thin vertical rod of mass 6 kg and length 1 m. with its axis at the top end. The clay strikes the bottom of the rod with a speed of 4 m/s and sticks to the bar, causing the bar to rotate, Assuming no other forces are acting on the system, do the following: a) Find angular speed of the rod and ball after the collision. b) State the angular momentum of each body in the system before and after the collision. Is angular momentum conserved? c) Find the kinetic energy of the system before and after the collision. Is mechanical energy conserved?
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