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Stable Equilibrium : If displaced from the position of stable equilibrium...object having tendency to come back to its position...
example...simple pendulum...mean position is its stable equilibrium...
Unstable : If displaced once then no tendency to come back rather continue to move away from position of unstable equilibrium..
and
Neutral equilibrium...if displaced from position ...it again stays in equilibrium in its new position...
Cheersss!!!!!
satble=====du/dr is 0.but d2U/dr2 is +ve.
when displaced from its eq. positon a net restoring force starts acting on th body which bring back to original position.
unstable >>understand from diagram.........
du/dr=0 & d2U/dr2= -ve.
neutra=======
du/dr=0
d2U/dr2= 0
Neutral Equilibtium:
When slightly displaced, The PE [U(x)]function remains constant.
Stable: When slightly displaced, the PE function either increases os dexreases the comes bak 2 original value.
Unstable: When slightly displaced, U(x) keeps increasing(or dereasing) infinitely....
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there is no neutral equilibrium. stable equilibriam is the position where the particle tends to gain.while unstable is opp. of this.
there is one more explanation, if you shift the position of particle from unstable equi., it never gains the same posi. but From stable equi., it gains the same position.