Q.

A spring mass system is held at rest at height H from the ground with the spring in relaxed state. Find the minimum value of ‘H’ so that the system has a tendency to rebound after hitting the ground. (Here mass'm2' is stick with ground after collision i.e., betweenm2  and ground perfect inelastic collision)  

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a

(2m1+m22m1)

b

m2g2K(2m1+m22m1)

c

m2gK(2m1+m22m1)

d

m2gK

answer is A.

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Detailed Solution

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v1=2gh

Kx=m2g,x=m2gK

12m1v12=m1gx+12Kx2

h=m2gK(2m1+m22m1)

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