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 67P
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In the figure below, the masses of each object are: m₁
1.00 kg, m₂ = 4.00 kg, m² = 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.
Enter to 3 significant figures
Center of mass (x, y): (
d1
m1
d3
d2
h1
✔cm
=
m3
m2 h2
✔ cm)
11h3
X
Transcribed Image Text:In the figure below, the masses of each object are: m₁ 1.00 kg, m₂ = 4.00 kg, m² = 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. Enter to 3 significant figures Center of mass (x, y): ( d1 m1 d3 d2 h1 ✔cm = m3 m2 h2 ✔ cm) 11h3 X
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