A diesel engine, weighing $\backslash (3,000\backslash$mathrm$\{$~N$\}\backslash ),$ is supported on a pedestal. It was observed that the engine induces vibration in the surrounding area through its pedestal at an operating speed of $6,000$ rpm$.$

The stiffness of the vibration absorber spring that will reduce the vibration when mounted on the pedestal is: $($The magnitude of the exciting force is $250$ N $,$ and the amplitude of movement of the auxiliary mass must be limited to $2$ mm $).$