Two bowling balls are at rest on top of a uniform wooden plank with their centers of mass located as in the figure below. The plank has a mass of 4.90 kg and is 1.00 m long. Find the horizontal distance (in m) from the left end of the plank to the center of mass of the plank-bowling balls system. HINT K 0.240 m A m 0.810 m 4.05 kg 1.00 m B ► I I 1 1 5.60 kg 4.90 kg

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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**Problem Statement:**

Two bowling balls are at rest on top of a uniform wooden plank with their centers of mass located as shown in the figure. The plank has a mass of 4.90 kg and is 1.00 m long. Find the horizontal distance (in meters) from the left end of the plank to the center of mass of the plank-bowling balls system.

**Diagram Explanation:**

- The diagram features a horizontal wooden plank with two bowling balls placed on top.
- Bowling ball A (left) is gray, with a mass of 4.05 kg. Its center of mass is positioned 0.240 m from the left end of the plank.
- Bowling ball B (right) is blue, with a mass of 5.60 kg. Its center of mass is positioned 0.810 m from the left end of the plank.
- The plank, underneath both balls, is shown in brown and has a mass of 4.90 kg. Its total length is 1.00 m.

**Objective:**

Calculate the horizontal distance from the left end of the plank to the combined center of mass of the system that includes the plank and both bowling balls.
Transcribed Image Text:**Problem Statement:** Two bowling balls are at rest on top of a uniform wooden plank with their centers of mass located as shown in the figure. The plank has a mass of 4.90 kg and is 1.00 m long. Find the horizontal distance (in meters) from the left end of the plank to the center of mass of the plank-bowling balls system. **Diagram Explanation:** - The diagram features a horizontal wooden plank with two bowling balls placed on top. - Bowling ball A (left) is gray, with a mass of 4.05 kg. Its center of mass is positioned 0.240 m from the left end of the plank. - Bowling ball B (right) is blue, with a mass of 5.60 kg. Its center of mass is positioned 0.810 m from the left end of the plank. - The plank, underneath both balls, is shown in brown and has a mass of 4.90 kg. Its total length is 1.00 m. **Objective:** Calculate the horizontal distance from the left end of the plank to the combined center of mass of the system that includes the plank and both bowling balls.
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