Write a library of static methods that performs various geometric transforms on polygons. mathematically, a polygon is defined by its sequence of vertices (x 0, y 0), (x 1, y 1), (x 2, y 2), …. in java, we will represent a polygon by storing the x– and y-coordinates of the vertices in two parallel arrays x[] and y[].

An engine, weighing 3000 n, is supported on a pedestal mount. it has been observed that the engine induces vibration into the surrounding area through its pedestal at the maximum operating speed. determine the stiffness of the dynamic vibration absorber spring in (n/m) that will reduce the vibration when mounted on the pedestal. the magnitude of the exciting force is 250 n, and the amplitude of motion of the auxiliary mass is to be limited to 2 mm note: in this question type-in right numbers, no decimals, no fractions, no unit. approximate to right number if needed