https://file.aiquickdraw.com/mathbot/file/1728269791995es8mfz8c.jpg

The problem asks about the center of mass of the bowling pin, which has a uniform density. Due to the symmetry of the bowling pin, the center of mass must lie along an axis that reflects the symmetry of the object.

The bowling pin is symmetric about its vertical axis. In the figure, this axis is labeled as line **C**. Since the pin is uniformly dense and symmetrical about this vertical axis, the center of mass will be located somewhere along this vertical line.

Therefore, the correct answer is **C**.

Would you like more details on the center of mass and symmetry principles, or have any other questions?

### Related Questions:
1. What role does uniform density play in determining the center of mass?
2. How would the center of mass shift if the object had a non-uniform density?
3. Can an object have more than one center of mass if it lacks symmetry?
4. How can the center of mass affect the stability of an object?
5. What methods can be used to experimentally determine the center of mass?

**Tip:** For objects with uniform density and symmetry, the center of mass will often lie along the axis of symmetry.

The bowling pin shown in the figure has uniform density. Based on the symmetry of the bowling pin, along which dashed line must the center of mass be located?

Discover how to determine the center of mass of a bowling pin using the principle of symmetry. This problem explains the connection between uniform density and symmetry in identifying the center of mass. Ideal for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation