4) The diagrams show some equations of mass among spheres, cubes, cylinders, and cones. What is the least number of objects that will balance the final scale?
4) The diagrams show some equations of mass among spheres, cubes, cylinders, and cones. What is the least number of objects that will balance the final scale?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4)
The diagrams show some equations of mass among spheres, cubes, cylinders, and cones. What
is the least number of objects that will balance the final scale?
Expert Solution
Step 1
Let mass of one cylinder = 1 Cy
mass of one cone = 1 Co
mass of one sphere = 1 S
and mass of one cube = 1 Cu
Now, according to first figure below:
The mass of 1 sphere and 2 cylinders is equal to the mass of 2 cones and 3 cubes, i.e. mathematically
1 S + 2 Cy = 2 Co + 3 Cu ...(1)
Similarly, for second figure below:
1 Cy + 1 Co = 2 S + 1 Cu ...(2)
and for third figure below:
6 S = 1 Co + 1 Cu + 1 Cy ...(3)
and corresponding to the forth figure below:
we want to find the equivalent mass to 4 Co, i.e. 4 Co = ?
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