1. A rigid rod of mass M and length L is free to pivot on a horizontal axle about its center. It hangs vertically and gently rests on a frictionless surface. A sticky ball of mass m travelling horizontally toward the rod with velocity v. collides with the rod and sticks to the bottom end. The goal of this problem is to find the maximum angle through which the rod rotates after the collision. M Vo ) Sketch a picture of the rod + ball system after the collision. Label your diagram and list а. any knowns or unknowns for the problem. Determine the moment of inertia for the ball+ rod system after the collision. Using this, write down the angular momentum conservation equation about the rod's pivot point. b. ச Determine a symbolic expression for velocity of the ball after the collision. с. d. Determine a symbolic expression for the maximum angle, measured from the vertical, through which the rod rotates. , Suppose L = 30 cm, M = 75 g, m = 10 g, v. = 2.5 m/s. What is the maximal angle through which the rod rotates? What height above the frictionless surface does this correspond to? е.
1. A rigid rod of mass M and length L is free to pivot on a horizontal axle about its center. It hangs vertically and gently rests on a frictionless surface. A sticky ball of mass m travelling horizontally toward the rod with velocity v. collides with the rod and sticks to the bottom end. The goal of this problem is to find the maximum angle through which the rod rotates after the collision. M Vo ) Sketch a picture of the rod + ball system after the collision. Label your diagram and list а. any knowns or unknowns for the problem. Determine the moment of inertia for the ball+ rod system after the collision. Using this, write down the angular momentum conservation equation about the rod's pivot point. b. ச Determine a symbolic expression for velocity of the ball after the collision. с. d. Determine a symbolic expression for the maximum angle, measured from the vertical, through which the rod rotates. , Suppose L = 30 cm, M = 75 g, m = 10 g, v. = 2.5 m/s. What is the maximal angle through which the rod rotates? What height above the frictionless surface does this correspond to? е.
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 81P: A projectile of mass m moves to the right with a speed vi (Fig. P10.81a). The projectile strikes and...
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(Please label variables eg. L =
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