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a 100g mass stretches a particular spring by 9.8cm, when suspended vertically from it. how Large a mass must be attached to the spring if the period of vibration is to be 6.28s?
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Answered by
50
10 kg of mass should be attached from the spring to make the period of vibration is to be 6.28s
Explanation :
At equilibrium position,
kx = mg
=> k x 9.8/100 = 0.1 x 9.8
=> k = 10
we know that time period of an oscillation is given by,
T = 2π√(m/k)
=> 6.28 = 2 x 3.14 x √(m/10)
=> √(m/10) = 1
=> m/10 = 1
=> m = 10 kg
Hence the mass which should be attached from the spring to make the period of vibration is to be 6.28s will be 10 kg
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