Question
A pan with set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period of 0.6s. When some additional weights are added then time period is 0.7s. The extension caused by the additional weights is approximately
Answer: Option B
:
B
b)2π√mk=0.6....(i) and 2π√m+m′k=0.7...(ii)
Dividing (ii) by (i) we get (76)2=m+m′m=4936
m+m′m−1=4936−1⇒m′m=1336m′13m36
Alsokm=4π2(0.6)2
Desired extension = m′gk = 1336×mgk
1336×10×0.364π2≈3.5cm
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:
B
b)2π√mk=0.6....(i) and 2π√m+m′k=0.7...(ii)
Dividing (ii) by (i) we get (76)2=m+m′m=4936
m+m′m−1=4936−1⇒m′m=1336m′13m36
Alsokm=4π2(0.6)2
Desired extension = m′gk = 1336×mgk
1336×10×0.364π2≈3.5cm
Was this answer helpful ?
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