Equillibrium position
Classical Mechanics
Level
3
Given is the graph of force vs distance. Identify the point of stable and unstable equillibrium.
a: stable , b: unstable
both stable
both unstable
b: stable , a:unstable
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1 solution
solution : at equillibrium the net force is 0.
At stable equillibrium whenever you try to move forward or back the forces act on you directed towards the eqillibrium position. Take example of a spring if you strech it it applies a force in opposite direction and the same when you press it.
At unstable equillibrium although net force is 0 but if you disturb the system it do not try to come back at the same position take example of a dipole placed in electric field as follows:
so now if you disturb the system the forces will try to turn it instead of restoring the position.
at point A if you move forward negative force will act so as to keep the object at A and if you move back a positive force will act so as to move you forward trying to keep you at the same place(point A).
at point B if you move forward positive force will act so move you further away while if you move back negative force will act so that you move further back