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m₂ M₁ C. views From Abou ž m₂ Figure I: Before Figure II: After 1981M3. A thin, uniform rod of mass M₁ and length L, is initially at rest on a frictionless horizontal surface. The moment of inertia of the rod about its center of mass is M₁L²/12. As shown in Figure I, the rod is struck at point P by a mass m₂ whose initial velocity v is perpendicular to the rod. After the collision, mass m₂ has velocity -12v as shown in Figure II. Answer the following in terms of the symbols given. a. Using the principle of conservation of linear momentum, determine the velocity v' of the center of mass of this rod after the collision. b. Using the principle of conservation of angular momentum, determine the angular velocity of the rod about its center of mass after the collision. Determine the change in kinetic energy of the system resulting from the collision.

m₂ M₁ C. views From Abou ž m₂ Figure I: Before Figure II: After 1981M3. A thin, uniform rod of mass M₁ and length L, is initially at rest on a frictionless horizontal surface. The moment of inertia of the rod about its center of mass is M₁L²/12. As shown in Figure I, the rod is struck at point P by a mass m₂ whose initial velocity v is perpendicular to the rod. After the collision, mass m₂ has velocity -12v as shown in Figure II. Answer the following in terms of the symbols given. a. Using the principle of conservation of linear momentum, determine the velocity v' of the center of mass of this rod after the collision. b. Using the principle of conservation of angular momentum, determine the angular velocity of the rod about its center of mass after the collision. Determine the change in kinetic energy of the system resulting from the collision.

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I m₂ Views From Above C. Ne Figure I: Before Figure II: After 1981M3. A thin, uniform rod of mass M₁ and length L, is initially at rest on a frictionless horizontal surface. The moment of inertia of the rod about its center of mass is M₁L²/12. As shown in Figure I, the rod is struck at point P by a mass m₂ whose initial velocity v is perpendicular to the rod. After the collision, mass m₂ has velocity -12v as shown in Figure II. Answer the following in terms of the symbols given. of the center of a. Using the principle of conservation of linear momentum, determine the velocity mass of this rod after the collision. b. Using the principle of conservation of angular momentum, determine the angular velocity of the rod about its center of mass after the collision. Determine the change in kinetic energy of the system resulting from the collision.
Transcribed Image Text:I m₂ Views From Above C. Ne Figure I: Before Figure II: After 1981M3. A thin, uniform rod of mass M₁ and length L, is initially at rest on a frictionless horizontal surface. The moment of inertia of the rod about its center of mass is M₁L²/12. As shown in Figure I, the rod is struck at point P by a mass m₂ whose initial velocity v is perpendicular to the rod. After the collision, mass m₂ has velocity -12v as shown in Figure II. Answer the following in terms of the symbols given. of the center of a. Using the principle of conservation of linear momentum, determine the velocity mass of this rod after the collision. b. Using the principle of conservation of angular momentum, determine the angular velocity of the rod about its center of mass after the collision. Determine the change in kinetic energy of the system resulting from the collision.
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