A particle of mass m is located in a one dimensional potential field where potential energy of the particle has the form u(x) = `a/x^(2)-b/x)`, where a and b are positive constants. Find the period of small oscillations of the particle.

A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as U (x) = (A)/(x^(2)) - (B)/(x) where A and B are positive constant. Find the time period of small oscillation that the partical perform about equilibrium possition.

The potential energy of a particle of mass m is given by U(x)=U_0(1-cos cx) where U_0 and c are constants. Find the time period of small oscillations of the particle.

A partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as: U (x) = U_(0) (1 - cos Ax), U_(0) and A constants. Find the period of small oscillation that the partical performs about the equilibrium position.

Solve the foregoing problem if the potential energy has the form U(x)=a//x^(2)-b//x, , where a and b are positive constants.

A particle located in one dimensional potential field has potential energy function U(x)=(a)/(x^(2))-(b)/(x^(3)) , where a and b are positive constants. The position of equilibrium corresponds to x equal to

A particle located in a one-dimensional potential field has its potential energy function as U(x)=(a)/(x^4)-(b)/(x^2) , where a and b are positive constants. The position of equilibrium x corresponds to