A 20-ft long non-uniform rod rest with two ends onscales. When a 120-lb person s

Question

A 20-ft long non-uniform rod rest with two ends onscales. When a 120-lb person stands at the geometric centerof the rod, the left scale reads 220 lbs and the right end reads300 lbs. Determine the distance from the rod's center-of-massto the left scale. a. 8 ft b. 9 ft c. 10 ft d. 11 ft e 12 ft A 20-ft long non-uniform rod rest with two ends onscales. When a 120-lb person stands at the geometric centerof the rod, the left scale reads 220 lbs and the right end reads300 lbs. Determine the distance from the rod's center-of-massto the left scale. a. 8 ft b. 9 ft c. 10 ft d. 11 ft e 12 ft

Explanation / Answer

A 20-ft long non-uniform rod rest with two ends onscales. When a 120-lb person stands at the geometric centerof the rod, the left scale reads 220 lbs and the right end reads300 lbs. Determine the distance from the rod's center-of-massto the left scale. a. 8 ft b. 9 ft c. 10 ft d. 11 ft e 12 ft

according to conservation of moments
220*x=300(20-x)
calculating we have x=11.53feet
hence option D is correct.
or if 11.53 is rounded to 12 feet we can have the option E ascorrect option .

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