1. If a mass M is attached to a spring of constant k and is set to oscillate.Its
ID: 1956183 • Letter: 1
Question
1. If a mass M is attached to a spring of constant k and is set to oscillate.Its time period is measred.If another identical spring is attached to the same mass M and it hangs in parallel with the first one, and the time period determined again.By what factor does the time period change? Justify your answer.
2. If a mass M is attached to a spring of constant k and is set to oscillate.Its time period is measred.If another identical spring is attached in series with the first spring and the same mass M is hung at the end. The time period is determined again.By what factor does the time period change? Justify your answer.
Explanation / Answer
a)when both springs are attached together 2kx = Ma therefore time period is 2* pi * sqrt( m/2k). it changes by 1/sqrt(2) times compared to the first case. b) when both are connected in series kx/2 = Ma therefore T = 2*pi*sqrt(2M/k) TIme period changes by sqrt(2) times to first case.
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