A particle moves such that its acceleration is given by `a =- beta (x-2)` Here `beta` is positive constant and `x` is the position form origin. Time period of oscillation is

A particle moves such that its acceleration is given by a = -Beta(x-2) Here, Beta is a positive constnt and x the x-coordinate with respect to the origin. Time period of oscillation is

A particle moves along X axis such that its acceleration is given by a = -beta(x -2) ,where beta is a positive constant and x is the position co-ordinate. (a) Is the motion simple harmonic? (b) Calculate the time period of oscillations. (c) How far is the origin of co-ordinate system from the equilibrium position?

A particle moves such that acceleration is given by a= -4x . The period of oscillation is

A particle moves such that its acceleration ‘a’ is given by a = – zx where x is the displacement from equilibrium position and z is constant. The period of oscillation is

A particle moves such that its acceleration a is given by a = -bx , where x is the displacement from equilibrium positionand is a constant. The period of oscillation is

A particle moves in such a way that its acceleration a= - bx, where x is its displacement from the mean position and b is a constant. The period of its oscillation is

A particle executes simple harmonic motion. Its instantaneous acceleration is given by a = - px , where p is a positive constant and x is the displacement from the mean position. Find angular frequency of oscillation.

A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to v(x) = beta x^(-2 n) where beta and n are constant and x is the position of the particle. The acceleration of the particle as a function of x is given by.