Swinging Object

Try it using transform component like :

 public float angleRange;
 
 void Update ()
     {
 
         transform.eulerAngles = new Vector3 (0, 0, Mathf.PingPong (Time.time * 10f, angleRange) - angleRange / 2);
 
     }

@5c4r3cr0w my aim is the axe rotates around a fixed point it's the red point in the pic. Your code doesn't make the axe rotate around a fixed point, it's just a normal rotation

You could rotate AXE from red point also with the code provided by @5c4r3cr0w (if currently its rotating at center) .. For that, Add your AXE game object into another gameobject such that, the pivot of the new gameObject (parent) comes at the red point of the AXE gameobject. Then rotate the new gameObject