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Asked by brijk456 | 12 Aug, 2019, 06:40: PM
answered-by-expert Expert Answer
We know that for a mass loaded spring executing SHM, begin mathsize 14px style omega space equals space square root of k over m end root end style  ...................(1)
where ω is angular frequency, k is spring constant and m is mass attached to spring
 
using the relation ω = 2π/T , where T is period of oscillation, spring constant k is obtained from eqn.(1) as
 
k = ( 4π2× m ) / T2   ..........................(1)
 
when 700 g is removed, system oscillates with period 3 sec, hence k = ( 4π2× 0.9 )/9  = 0.4 π2 N/m
 
After removing 500 g , mass attached to spring becomes only 400 g
 
Hence time period begin mathsize 12px style T space equals space 2 pi square root of m over k end root space equals space 2 pi space square root of fraction numerator 0.4 over denominator 0.4 space pi squared end fraction end root space equals space 2 space s end style
Answered by Thiyagarajan K | 12 Aug, 2019, 08:18: PM
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