1. A 3.42kg object connected to a ceiling by a spring (with a spring constant of
ID: 1582176 • Letter: 1
Question
1.
A 3.42kg object connected to a ceiling by a spring (with a spring constant of 12 N/m) on Earth experiences simple harmonic motion. what is the period of oscillation of this experiment on the moon. gEarth = 9.8 m/s2 and gmoon = 1.6 m/s2.
2,
what is the period of a tire swing with a length of 4.9 m that experiences simple harmonic motion.
3.
A 2.31kg trapeze cable is pulled taut with 74.4N of tension around two circus tent poles separated by 10.4m. If a trapeze artists tests the tension in the cable by plucking it at one end, what is the time for the wave to propagate to the opposite cable end.
Explanation / Answer
1)
Period of SHM will be independent of g (g does not effect the period of a vertically mounted spring) and is given by:
T = 2pi* sqrt(m/k)
= 2pi* sqrt(3.42/12)
= 3.35 s
2) Use:
T = 2pi* sqrt(L/g)
= 2pi* sqrt(4.9/9.8) (Taking g = 9.8 for Earth)
= 4.44s
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