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Question 11: A particle of mass m coming with velocity vo collides with a uniform rod of mass M and length L elastically on a horizontal table as shown in Figure 8. (The rod is not pivoted and it is free to rotate about its center of mass after the col- lision.). The moment of inertia of the rod about its center of mass is Iem = ML². If the particle stops after the collision, find %3D a) the velocity of the center of mass of the rod, and b) the angular velocity of the rod.

Question 11: A particle of mass m coming with velocity vo collides with a uniform rod of mass M and length L elastically on a horizontal table as shown in Figure 8. (The rod is not pivoted and it is free to rotate about its center of mass after the col- lision.). The moment of inertia of the rod about its center of mass is Iem = ML². If the particle stops after the collision, find %3D a) the velocity of the center of mass of the rod, and b) the angular velocity of the rod.

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M, L L/2 Vo Figure 8
Transcribed Image Text:M, L L/2 Vo Figure 8
Question 11: A particle of mass m coming with velocity vo collides with a uniform rod of mass M and length L elastically on a horizontal table as shown in Figure 8. (The rod is not pivoted and it is free to rotate about its center of mass after the col- lision.). The moment of inertia of the rod about its center of mass is Iem = b ML2. If the particle stops after the collision, find a) the velocity of the center of mass of the rod, and b) the angular velocity of the rod. Question 12: A particle of mass m coming with velocity vo collides with a uniform rod of mass M and length L on a horizontal table as shown in Figure 8. The collision is completely inelastic. The moment of inertia of the rod about the center of mass is Iem = ML2. Find the angular velocity of the system after the collision (Hint: After the collision, the system consisting in the rod and the particle rotates about the new center of mass).
Transcribed Image Text:Question 11: A particle of mass m coming with velocity vo collides with a uniform rod of mass M and length L elastically on a horizontal table as shown in Figure 8. (The rod is not pivoted and it is free to rotate about its center of mass after the col- lision.). The moment of inertia of the rod about its center of mass is Iem = b ML2. If the particle stops after the collision, find a) the velocity of the center of mass of the rod, and b) the angular velocity of the rod. Question 12: A particle of mass m coming with velocity vo collides with a uniform rod of mass M and length L on a horizontal table as shown in Figure 8. The collision is completely inelastic. The moment of inertia of the rod about the center of mass is Iem = ML2. Find the angular velocity of the system after the collision (Hint: After the collision, the system consisting in the rod and the particle rotates about the new center of mass).
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