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#Simple yet not so simple
qn 1)
an ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to it's lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the string is
a)4Mg/k
b)2Mg/k
c)Mg/k
d)Mg/2k
 one year ago
 one year ago
#Simple yet not so simple qn 1) an ideal spring with spring constant k is hung from the ceiling and a block of mass M is attached to it's lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the string is a)4Mg/k b)2Mg/k c)Mg/k d)Mg/2k
 one year ago
 one year ago

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shivam_bhallaBest ResponseYou've already chosen the best response.0
Good @chand . Would you mind explaining to @goutham1995 ?
 one year ago

chandBest ResponseYou've already chosen the best response.1
sure. when a mass attached to a spring is suddenly released, energy is conserved. in this case, spring potential energy is equal to the potential energy of spring. 1/2 kx^2 = mgx and thus x = 2mg/k
 one year ago

VincentLyon.FrBest ResponseYou've already chosen the best response.0
 System is conservative (ME is conserved).  In both situation, mass is at rest, hence KE = 0 and ΔKE = 0  Gravitational PE is converted in Elastic PE hence the equation derived by chand.
 one year ago

shivam_bhallaBest ResponseYou've already chosen the best response.0
The common mistake which people make in such question is F = mg= kx So x = mg/k This is the mistake I wanted to point out. :)
 one year ago

goutham1995Best ResponseYou've already chosen the best response.0
lol..thats what i did..but why will it be wrong? if we dont consider energy, how else can we do it?
 one year ago

shivam_bhallaBest ResponseYou've already chosen the best response.0
@VincentLyon.Fr , can you help us here please ??
 one year ago

VincentLyon.FrBest ResponseYou've already chosen the best response.0
Energy makes it much easier, but you can also solve it 'the hard way' using SHM equations. I will post this solution, but have no time right now.
 one year ago
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