Two 3.50 kg balls are attached to the ends of a thin rod of length 36.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 42.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 3.25 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits? (b) What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? (c) Through what angle (deg) will the system rotate before it momentarily stops? Putty wad Rotation- axis

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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On an educational website, the content could appear as follows:

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**Physics Problem: Rotational Dynamics**

Two 3.50 kg balls are attached to the ends of a thin rod of length 36.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (as depicted in the figure), a 42.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 3.25 m/s and then sticking to it.

- **(a)** What is the angular speed of the system just after the putty wad hits?
- **(b)** What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before?
- **(c)** Through what angle (in degrees) will the system rotate before it momentarily stops?

**Diagram Explanation:**
The diagram shows a rod pivoting around its central rotation axis. Two balls are positioned at either end of the rod. A putty wad is depicted falling vertically onto one of the balls, indicating the collision point that sets the system in rotational motion.

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This problem prompts the application of conservation of angular momentum and energy principles in rotational systems.
Transcribed Image Text:On an educational website, the content could appear as follows: --- **Physics Problem: Rotational Dynamics** Two 3.50 kg balls are attached to the ends of a thin rod of length 36.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (as depicted in the figure), a 42.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 3.25 m/s and then sticking to it. - **(a)** What is the angular speed of the system just after the putty wad hits? - **(b)** What is the ratio of the kinetic energy of the system after the collision to that of the putty wad just before? - **(c)** Through what angle (in degrees) will the system rotate before it momentarily stops? **Diagram Explanation:** The diagram shows a rod pivoting around its central rotation axis. Two balls are positioned at either end of the rod. A putty wad is depicted falling vertically onto one of the balls, indicating the collision point that sets the system in rotational motion. --- This problem prompts the application of conservation of angular momentum and energy principles in rotational systems.
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