State the conditions for stable, unstable and neutral equilibria.

For the potential energy curve shown in figure. (a) Determine whether the force F_x is positive, negative, or zero at the five points indicated, (b) Indicate points of stable, unstable, and neutral equilibrium, (c) Sketch the curve for F_x versus x from x=0 to x=8m .

What are the conditions for stable and unstable equilibrium of a magnet suspended in a uniform magnetic field?

Distinguish between stable, unstable and neutral equilibria of a body.

Distinguish between stable, unstable and neutral equilibrium of a body

State the condition for constructive interference.

potential enrgy of a particle along x-axis varies as, U=-20 + (x-2)^(2) , where U is in joule and x in meter. Find the equilibrium position and state whether it is stable or unstable equilibrium.

Force acting on a particle constrained to move along x-axis is F=(x-4) . Here, F is in newton and x in metre. Find the equilibrium position and state whether it is stable or unstable equilibrium.

Two point charges +q and fixed at (a,0,0) and (-a,0,0) . A third point charge -q is at origin. State whether ite equlilbrium is stable, unstable or neutral if it is slightly displaced: (a) along x-axis. , (b) along y-axis.