Finding U from F | finding F from U | Equilibrium (Stable, unstable and neutral) | Power due to a force

Finding Potential Energy from Force | Finding Force from Potential Energy | Equilibrium (Stable, unstable and neutral) | Power due to a force

Distinguish between stable, unstable and neutral equilibrium of a body

Define the following. (a) stable equilibrium (b) unstable equilibrium (c) neutral equilibrium

The potential energy of a conservative force field is given by U=ax^(2)-bx where, a and b are positive constants. Find the equilibrium position and discuss whether the equilibrium is stable, unstable or neutral.

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 .

How does the energy of dipole change when it is rotated from unstable equilibrium to stable equilibrium in a uniform electric field.

On applying a force F, point P is displaced vertically down by y from equilibrium positionl. Find force F in terms of the force constant k of the spring and displacement y, for the cases (a) and (b), as shown in fig.