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Mechanics
i am sure that u hv encountere dthis sum a lot of times
consider two massses kept on a horizontal fricitionless surface joined by a masless spring........
now a force F is aplied on the mass..............
find the maximum compression /exptension
everyone know the psuedo force method i guess........
now let us try to solve it from the work method or from the vel is 0 method
come on dudes this looks an easy sum but there r many intricasies ( no use of equaivalent mass)
Comments (7)
@sujit.
ur idea is perfect u want to minimize the kinetic energy of system for max p.e .............but i dont approve the collision idea
u can assume a collision iff an impulse acts ...but here a constant Force(not an impulsive force is acting)
thik hai yaar i think discussions becoming unparticative.......................
a nove and an easy way to solve this sum is by
consider the other masss m on which the ofrce F is not applied
now the position of equillibrium when force applied is F/(m1+m2)
now apply shm and the maximum extension is simple double of that
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max compression
that implies max spring energy
=> minimum kinetic energy (as energy is conserved)
this happens when its a perfectly inelastic collision between 2 masses
SO
assume a perfectly inelastic collision between the two blocks......get their velocity
write the energy equation 2 get the max compression