Question

Tall buildings are flexible and undergo simple harmonic motion (SMH) when excited by wind. Suppose the top floor of a skyscraper is in SMH, swaying back and forth with a frequency of 0.181 Hz and an amplitude of 1.5 m.

a.What is the maximum speed experienced by top floor occupants?

b.What is the maximum acceleration experienced by top floor occupants?

Answers

Damon
x = 1.5 sin (2 pi * .181 t)
= 1.5 sin (1.137 t)

v = dx/dt = 1.5* 1.137 cos (1.137 t)

v max = 1.5 * 1.137

a = d^2x/dt^2 = -1.5*1.137^2 sin (1.137 t)

a max = 1.5 * 1.137^2

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