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Question Number 26924 by Tinkutara last updated on 31/Dec/17

Answered by mrW1 last updated on 31/Dec/17

k=spring constant  u=deformation of spring under force  u_2 =max. deformation of spring after release  (1/2)ku^2 −m_A gu=(1/2)ku_2 ^2 +m_A gu_2    ...(i)  ku_2 =m_B g  ⇒u_2 =((m_B g)/k)=((mg)/k)  (i) becomes  ku^2 −2mgu=((3(mg)^2 )/k)  ⇒k^2 u^2 −2mgku−3(mg)^2 =0  ⇒(ku−3mg)(ku+mg)=0  ⇒ku=3mg    F+m_A g=ku=3mg  ⇒F=2mg    Answer (2)

k=springconstantu=deformationofspringunderforceu2=max.deformationofspringafterrelease12ku2mAgu=12ku22+mAgu2...(i)ku2=mBgu2=mBgk=mgk(i)becomesku22mgu=3(mg)2kk2u22mgku3(mg)2=0(ku3mg)(ku+mg)=0ku=3mgF+mAg=ku=3mgF=2mgAnswer(2)

Commented by mrW1 last updated on 31/Dec/17

Commented by Tinkutara last updated on 31/Dec/17

Thank you very much Sir! I got the answer.

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