A uniform rod of mass M and length L is suspended at a point (P) which is a distance L/3 from one end and is free to rotate frictionlessly about point P in a vertical plane. A small piece of clay of mass M/4 is thrown horizontally at the rod with a speed v; and it immediately sticks to the lower end of the rod. (Rod: Iem =ML?) 12 (a) What is Ip, the moment of inertia of the rod about point P? (b) Consider the rod and clay as one system. In the collision process, is the mechanical energy of the system conserved? What about the linear momentum and the angular momentum? Give simple justifications. (c) What is the angular speed of the system immediately after the collision? (d) What is the minimum speed v; of the clay that enables the rod to make complete revolutions about point P? M,L

A uniform rod of mass M and length L is suspended at a point (P) which is a distance L/3 from one end and is free to rotate frictionlessly about point P in a vertical plane. A small piece of clay of mass M/4 is thrown horizontally at the rod with a speed v; and it immediately sticks to the lower end of the rod. (Rod: Iem =ML?) 12 (a) What is Ip, the moment of inertia of the rod about point P? (b) Consider the rod and clay as one system. In the collision process, is the mechanical energy of the system conserved? What about the linear momentum and the angular momentum? Give simple justifications. (c) What is the angular speed of the system immediately after the collision? (d) What is the minimum speed v; of the clay that enables the rod to make complete revolutions about point P? M,L

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 44AP

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Repeat Example 10.15 in which the stick is free to have translational motion as well as rotational motion.
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