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1.Identify the spring constant if a 56kg object experiencing simple oscillatory

ID: 1582175 • Letter: 1

Question

1.Identify the spring constant if a 56kg object experiencing simple oscillatory motion completes a cycle in 11.2s.

2.

A taut wire 0.25m in length vibrating in the sixth harmonic resonates an open pipe 0.88m in length in the second overtone (third harmonic) where the speed of sound in air is 343m/s. The common resonant frequency of the wire and the pipe, in SI units, is closest to:

3.

Identify the wavelength (in mm) of a 1.5MHz wave traveling through a 1.1kg aluminum cylinder 40.cm long with a 1.0cm radius in 120s.

Explanation / Answer

1) T = 2pi*sqrt(m/k)

11.2 = 2pi*sqrt(56 / k)

k = 17.62 N/m

so the spring constant is 17.62 N/m