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The system Shown ( the spring is without tension) travels towards the wall and has an elastic collision . The maximum Compression of the spring is ?
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|dw:1353427046355:dw|
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@experimentX @siddhantsharan
experimentX
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1/2 mv^2 = 1/2 kx^2
Vincent-Lyon.Fr
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Why did you close this question?
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@Vincent-Lyon.Fr
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@shubhamsrg
shubhamsrg
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for maximum compression..whole kinetic energy is transferred to spring energy...that helps ?
shubhamsrg
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and in such case,,effective mass = m1 m2 / (m1 + m2)
am i helping ?
shubhamsrg
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i mean are you getting ?
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wat is effective mass
shubhamsrg
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2 masses are connected to a spring on 2 ends..say m1 and m2..
then the effective mass is m1 m2/ (m1 + m2)
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ok..)
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Wait....I mean....I did nt get...wat is effective mass shuld nt it be m1 + m2
shubhamsrg
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effective mass or can be also called reduced mass of the system..
never heard of it ?
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No..)
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So.... 1/2 k x^2 = 1/2 effective mass * v^2
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right?
shubhamsrg
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seems right..
shubhamsrg
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well reduced mass is no big deal..has a simple derivation..
you wanna know ?
shubhamsrg
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there isnt much need for the derivation for you to know since you're JEE aspirant..but still i can tell if you want..
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Yes..i am interested in it
shubhamsrg
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kk..newton's 3rd law states that
F1 = -F2 right ? both taken in vector form..
F1 will be one acting on 1st body,,F2 on second..
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ok...
shubhamsrg
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all expressions are in vector form below :
m1 a1 = - m2 a2
=>a1 = (-m2/m1) a2
now relative acceleration between the bodies
a = a2 - a1 = a2 (1 + m2/m1)
= m2 a2 ( m1 + m2)/(m1 m2)
following ?
shubhamsrg
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??
shubhamsrg
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tell me if not getting anything ?
we are not done yet with the thing..
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Yup....i can follow u..)
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Tell me a Scenario where we will use Effective Mass
shubhamsrg
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right here!!
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Another..Eg
shubhamsrg
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now..m1m2 / (m1+ m2) = M (reduced or effective mass)
so we have
F2/M = a
or F2 = Ma
so what do you conclude ?
shubhamsrg
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see,,any 2 body system can be converted to 1 body system with this effective mass...
force acting between them will also act between this one body system..
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Nw..i get it...)...thxx....)
shubhamsrg
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you sure?
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Yes.
shubhamsrg
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hmm,,whats the conclusion you can draw then?