In the figure below, the masses of each object are: m₁ = 1.00 kg, m₂ = 4.00 kg, m3 = 6.00 kg. The labeled distances are: d₁ = 25.0 cm, d₂ = 104 cm, d3 = 60.0 cm (where d is the x distance for the center of the block). The height of each block is h₁ = 19.0, h₂ = 28.0 cm, and the h3 = 12.0 cm. Assume the center of mass for each individual object is at the center of the object. Hint: Consider the final center of mass (x,y) relative to the axes shown in the figure. Note the positions of the boxes relative to the axes and to one another. Determine the positions, x and y, of the center of mass for the system below.

In the figure below, the masses of each object are: m₁ = 1.00 kg, m₂ = 4.00 kg, m3 = 6.00 kg. The labeled distances are: d₁ = 25.0 cm, d₂ = 104 cm, d3 = 60.0 cm (where d is the x distance for the center of the block). The height of each block is h₁ = 19.0, h₂ = 28.0 cm, and the h3 = 12.0 cm. Assume the center of mass for each individual object is at the center of the object. Hint: Consider the final center of mass (x,y) relative to the axes shown in the figure. Note the positions of the boxes relative to the axes and to one another. Determine the positions, x and y, of the center of mass for the system below.

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

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 5OQ

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In the figure below, the masses of each object are: \( m_1 = 1.00 \, \text{kg}, \, m_2 = 4.00 \, \text{kg}, \, m_3 = 6.00 \, \text{kg}. \)

The labeled distances are: \( d_1 = 25.0 \, \text{cm}, \, d_2 = 104 \, \text{cm}, \, d_3 = 60.0 \, \text{cm} \) (where \( d \) is the x distance for the center of the block).

The height of each block is \( h_1 = 19.0 \, \text{cm}, \, h_2 = 28.0 \, \text{cm}, \) and \( h_3 = 12.0 \, \text{cm}. \)

Assume the center of mass for each individual object is at the center of the object.

*Hint: Consider the final center of mass (x,y) relative to the axes shown in the figure. Note the positions of the boxes relative to the axes and to one another.*

**Determine the positions, x and y, of the center of mass for the system below.**

[Diagram Explanation]
- The diagram shows three blocks placed on a horizontal axis (x-axis) with a vertical axis (y-axis) for reference.
- Block \( m_1 \) is positioned to the left with a mass of \( 1.00 \, \text{kg} \) at a distance \( d_1 = 25.0 \, \text{cm} \) from the y-axis.
- Block \( m_2 \) is positioned further right with a mass of \( 4.00 \, \text{kg} \) at a distance \( d_2 = 104 \, \text{cm} \) from the y-axis.
- Block \( m_3 \) forms the base with a mass of \( 6.00 \, \text{kg} \) extending \( d_3 = 60.0 \, \text{cm} \) along the x-axis.

**Enter to 3 significant figures**

**Center of mass (x, y):** \(\boxed{\phantom{99}} \, \text{cm}, \

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