spring mass problem

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two blocks are kept on a smooth horizontal table.... they are interconnected by an ideal spring of spring constant k..... A force is aplied as shown....... findthe max. compression of the spring. Ans: 2m1F/(k(m1+m2))

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eureka123 ·2009-03-13 20:20:24

Elongation max when instantaneously at rrest

a_cm=F/m1+m2
Apply pseudo on both blocks now

F_net2=F-m2a
F_net1=m1a
Displace m1 by x1 and m2 by x2
W₂=(F-m2a)x2
W₁=(m1a)x1

Î”W_net=Î”U
=>(F-m2a)x2+(m1a)x1=k(x1+x2)2/2

x1+x2=2Fm1/k(m1+m2)

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kamalendu ghosh ·2009-03-14 08:14:30

thanx

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spring mass problem

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