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The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 4 inches wide, 8 inches high, and 240 inches long can hold a load of 5150 pounds. What load would a beam 3 inches wide, 6 inches high, and 192 inches long, of the same material, support? Round your answer to the nearest integer if necessary.

The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 4 inches wide, 8 inches high, and 240 inches long can hold a load of 5150 pounds. What load would a beam 3 inches wide, 6 inches high, and 192 inches long, of the same material, support? Round your answer to the nearest integer if necessary.

Advanced Engineering Mathematics
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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The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 4 inches wide, 8 inches high, and 240 inches long can hold a load of 5150 pounds. What load would a beam 3 inches wide, 6 inches high, and 192 inches long, of the same material, support? Round your answer to the nearest integer if necessary. Answer How to enter your answer (opens in new window) pounds Keypa Keyboard Short
Transcribed Image Text:The safe load, L, of a wooden beam of width w, height h, and length 1, supported at both ends, varies directly as the product of the width and the square of the height, and inversely as the length. A wooden beam 4 inches wide, 8 inches high, and 240 inches long can hold a load of 5150 pounds. What load would a beam 3 inches wide, 6 inches high, and 192 inches long, of the same material, support? Round your answer to the nearest integer if necessary. Answer How to enter your answer (opens in new window) pounds Keypa Keyboard Short
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