A 1.8-kg uniform plate in the shape of an equilateral triangle is suspended at its center...

A 1.8-kg uniform plate in the shape of an equilateral triangle is suspended at its center of gravity from a steel ware which is known to have a torsional constant K =35 mN m/rad. If the plate is rotated 360c about the vertical and then released, determine (a)the period of oscillation, (b)the maximum velocity of one of the vertices of the triangle.