A particle of mass `1kg` constrained to move along x axis under the action of the only conservation force for which the potential energy is given by `u = x^(3) - 4x^(2)` and was initially at rest at stabel equilibrium position and was very slightly displaced along x axis and then it oscillates with a period of `(pi)/(sqrt(x))`sec, the value of x is__________

A block is constrained to move along x axis under a force F=-(2x)N . Find the work done by the force when the block is displaced from x=2 m to x = 4m

The mass of particle is 1 kg it is moving along x- axis The period of its small osciltion is (pi)/(2) . Find the its potential energy:

A particle moves along x - axis under the action of a position dependent force F=(5x^(2)-2x)N . Work done by force on the particle when it moves from origin to x = 3 m is

A particle moves along x - axis under the action of a position dependent force F=(5x^(2)-2x)N . Work done by force on the particle when it moves from origin to x = 3 m is

The potential energy U(x) of a particle moving along x - axis is given by U(x)=ax-bx^(2) . Find the equilibrium position of particle.

The potential energy U(x) of a particle moving along x - axis is given by U(x)=ax-bx^(2) . Find the equilibrium position of particle.

A particle moves along x -axis under the action of a position dependent force F = (5x^(2) -2x) N . Work done by forces on the particle when it moves from origin to x = 3m is

A particle of mass 1.5 kg moves along x-axis in a conservative force field. Its potential energy is given by V(x)=2x^(3)-9x^(2)+12x, where all quantities are written in SI units. The plot of this potential energy is given below. It is seen that the particle can be in stable equilibrium at a point on x-axis, x_(0). When it is displaced slightly from this equilibrium position, It executes SHM with time period T. What is the value of x_(0) ?