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Answer: A uniform rod of length L rests on a frictionless
Chapter 10, Problem 91P(choose chapter or problem)
A uniform rod of length L rests on a frictionless horizontal surface. The rod pivots about a fixed frictionless axis at one end. The rod is initially at rest. A bullet traveling parallel to the horizontal surface and perpendicular to the rod with speed v strikes the rod at its center and becomes embedded in it. The mass of the bullet is one-fourth the mass of the rod. (a) What is the final angular speed of the rod? (b) What is the ratio of the kinetic energy of the system after the collision to the kinetic energy of the bullet before the collision?
Questions & Answers
QUESTION:
A uniform rod of length L rests on a frictionless horizontal surface. The rod pivots about a fixed frictionless axis at one end. The rod is initially at rest. A bullet traveling parallel to the horizontal surface and perpendicular to the rod with speed v strikes the rod at its center and becomes embedded in it. The mass of the bullet is one-fourth the mass of the rod. (a) What is the final angular speed of the rod? (b) What is the ratio of the kinetic energy of the system after the collision to the kinetic energy of the bullet before the collision?
ANSWER:Solution 91P
Step 1 of 5:
In the given problem, the rod of length L and mass M is at rest and a bullet moving with speed V and mass m=M/4 impacts the rod at the middle and structs as shown in the figure below, then the rod starts rotating with angular speed .