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A spring of spring constant k and relaxed length lo is connected to a block of mass m. One end of the spring is attached to the ceiling and the block is constrained to run along a track on the floor. The block always has to stay on the floor but it can move side-to-side. There is no friction. Ignore gravity. The distance between the ceiling and the floor is also lo. Consider horizontal motion of the block for small oscillations so that r < lo. Is the resulting motion simple harmonic motion? If so, give the frequency of oscillations.

A spring of spring constant k and relaxed length lo is connected to a block of mass m. One end of the spring is attached to the ceiling and the block is constrained to run along a track on the floor. The block always has to stay on the floor but it can move side-to-side. There is no friction. Ignore gravity. The distance between the ceiling and the floor is also lo. Consider horizontal motion of the block for small oscillations so that r < lo. Is the resulting motion simple harmonic motion? If so, give the frequency of oscillations.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A spring of spring constant k and relaxed length lo is connected to a block of mass m. One end of the spring is attached to the ceiling and the block is constrained to run along a track on the floor. The block always has to stay on the floor but it can move side-to-side. There is no friction. Ignore gravity. The distance between the ceiling and the floor is also lo. Consider horizontal motion of the block for small oscillations so that r < lo. Is the resulting motion simple harmonic motion? If so, give the frequency of oscillations.
Transcribed Image Text:A spring of spring constant k and relaxed length lo is connected to a block of mass m. One end of the spring is attached to the ceiling and the block is constrained to run along a track on the floor. The block always has to stay on the floor but it can move side-to-side. There is no friction. Ignore gravity. The distance between the ceiling and the floor is also lo. Consider horizontal motion of the block for small oscillations so that r < lo. Is the resulting motion simple harmonic motion? If so, give the frequency of oscillations.
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