1. Three numbers are so related that the second number is 2 more than the first number and the third is 4 more than the first. The sum of their squares is 56 more than three times the square of the smallest number. Determine the following: a) The numbers b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 2. The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units, the area would be increased by 57 square units. Determine the following: a) The dimension of the rectangle b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 3. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that silver loses 1/10 of its weight in water and that gold loses 1/19 of its weight in water. Determine the following: a) The amount in ounces of each material in the alloy b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a)

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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1. Three numbers are so related that the second number is 2 more than the first
number and the third is 4 more than the first. The sum of their squares is 56 more
than three times the square of the smallest number. Determine the following:
a) The numbers
b) Explain the concepts/principles that were considered and the factors that
affected the condition of item (a)
2. The length of a rectangle exceeds its width by 6 units. If each dimension were
increased by 3 units, the area would be increased by 57 square units. Determine
the following:
a) The dimension of the rectangle
b) Explain the concepts/principles that were considered and the factors that
affected the condition of item (a)
3. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water.
Assuming that silver loses 1/10 of its weight in water and that gold loses 1/19 of its
weight in water. Determine the following:
a) The amount in ounces of each material in the alloy
b) Explain the concepts/principles that were considered and the factors that
affected the condition of item (a)
Transcribed Image Text:1. Three numbers are so related that the second number is 2 more than the first number and the third is 4 more than the first. The sum of their squares is 56 more than three times the square of the smallest number. Determine the following: a) The numbers b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 2. The length of a rectangle exceeds its width by 6 units. If each dimension were increased by 3 units, the area would be increased by 57 square units. Determine the following: a) The dimension of the rectangle b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a) 3. An alloy of silver and gold weighs 15 ounces in air and 14 ounces in water. Assuming that silver loses 1/10 of its weight in water and that gold loses 1/19 of its weight in water. Determine the following: a) The amount in ounces of each material in the alloy b) Explain the concepts/principles that were considered and the factors that affected the condition of item (a)
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