A mass m at the end of a spring oscillates with a frequency of 0.93 H z . When a

Question

A mass m at the end of a spring oscillates with a frequency of 0.93Hz . When an additional 750gmass is added to m, the frequency is 0.61Hz .
A mass m at the end of a spring oscillates with a frequency of 0.93Hz . When an additional 750gmass is added to m, the frequency is 0.61Hz . A mass m at the end of a spring oscillates with a frequency of 0.93Hz . When an additional 750gmass is added to m, the frequency is 0.61Hz . A mass m at the end of a spring oscillates with a frequency of 0.93Hz . When an additional 750gmass is added to m, the frequency is 0.61Hz . A mass m at the end of a spring oscillates with a frequency of 0.93Hz . When an additional 750gmass is added to m, the frequency is 0.61Hz . A mass m at the end of a spring oscillates with a frequency of 0.93Hz . When an additional 750gmass is added to m, the frequency is 0.61Hz .

Explanation / Answer

Frequency = [1/(2 pi)] sqrt (k/m)

0.93 = [1/(2 pi)] sqrt (k/m)

0.61 = [1/(2 pi)] sqrt [k/(m+0.750)]

Take the ratio. The k will cancel out.

0.93/0.61 = sqrt[(m+0.750)/m]

1.524^2 = (m+0.75)/m

2.322m = m+0.75

m = 0.75/1.322 = 0.567 kg = 567 gms

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