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Questions  

In the arrangement shown, the block is slightly displaced to the right and then released.  Then time period of oscillation of the block is

 

 

a
2π5m3k
b
2π2m3k
c
2π3m5k
d
2π3mk

detailed solution

Correct option is B

(2)Effective spring constant of the system=K+K1 ×11+1=3k2When the block is displaced slightly ;ma=−3k2 ×xa=−3kx2mcomparing  with  a=−ω2xω=3k2m∴  T=2πω= 2π2m3k

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Two springs of spring constants k1 and k2 are joined in series. The effective spring constant of the-combination is given by:


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