A thin, uniform rod has one of its end mounted at 3. point P and is free to rotate about an axle that passes through P in a direction perpendicular to the figure. The rod is of length 1.0 m and mass 0.3 kg. It is released from rest at the horizontal position shown in the figure. A small ball of mass 0.1 kg is placed on a frictionless floor 1.0 m below point P such that when the rod reaches the vertical position, it just hits the ball. Assume that once the rod hits the ball, they stick together and swing up until they come to a momentary stop at an angle 0. (a) perpendicular to the figure? You can check the table on slide 27 of the lecture notes if needed. (b) problem from the perspective of energy conservation] (c) analyze the problem from the perspective of conservation of angular momentum] What is the rotational inertia of the rod about the axle passing through P and What is the angular speed of the rod just before it hits the ball? [Hint: analyze the What is the angular speed of the rod-ball system just after they collide? [Hint: What is the angle 0 when the rod-ball system comes to a momentary stop? [Hint: (d) again analyze the problem from the perspective of energy conservation]

A thin, uniform rod has one of its end mounted at 3. point P and is free to rotate about an axle that passes through P in a direction perpendicular to the figure. The rod is of length 1.0 m and mass 0.3 kg. It is released from rest at the horizontal position shown in the figure. A small ball of mass 0.1 kg is placed on a frictionless floor 1.0 m below point P such that when the rod reaches the vertical position, it just hits the ball. Assume that once the rod hits the ball, they stick together and swing up until they come to a momentary stop at an angle 0. (a) perpendicular to the figure? You can check the table on slide 27 of the lecture notes if needed. (b) problem from the perspective of energy conservation] (c) analyze the problem from the perspective of conservation of angular momentum] What is the rotational inertia of the rod about the axle passing through P and What is the angular speed of the rod just before it hits the ball? [Hint: analyze the What is the angular speed of the rod-ball system just after they collide? [Hint: What is the angle 0 when the rod-ball system comes to a momentary stop? [Hint: (d) again analyze the problem from the perspective of energy conservation]

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 44P: Consider two objects with m1 m2 connected by a light string that passes over a pulley having a...

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