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Engineering Application Near the top of the Citigroup
Chapter 16, Problem 36(choose chapter or problem)
Problem 36PE
Engineering Application Near the top of the Citigroup Center building in New York City, there is an object with mass of 4.00 × 105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building. (a) What effective force constant should the springs have to make the object oscillate with a period of 2.00 s? (b) What energy is stored in the springs for a 2.00-m displacement from equilibrium?
Questions & Answers
QUESTION:
Problem 36PE
Engineering Application Near the top of the Citigroup Center building in New York City, there is an object with mass of 4.00 × 105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building. (a) What effective force constant should the springs have to make the object oscillate with a period of 2.00 s? (b) What energy is stored in the springs for a 2.00-m displacement from equilibrium?
ANSWER:
Solution 36PE
The amount of work done in stretching or compressing a spring from its equilibrium position gets stored as elastic potential energy of the spring. When a spring undergoes a displacement of x units from equilibrium, the elastic potential energy is:
