Nellie Newton hangs at rest from the ends of the rope as shown. How does the reading on the scale compare with her weight?
Solution 27E Step 1 Drawing diagrams This is the normal case of a man who is attached to a hanging spring balance. So, the spring balance is not moving since its upper hook is connected to a rigid ceiling and the spring will elongate and we will get a reading corresponding to the equivalent weight of the man. But here, the actual case is, the lady is suspending on the balance with the support of a pulley. Here, nothing will happen to the reading in spring balance. The total weight of the person will be same. It will be acted towards down. One end of the spring balance is rigid and the other end is spring. So, the spring balance will move upward since it is not supported on a rigid ceiling if both hands are applying same tension on the rope. So, the reading will be exactly the person’s weight because in each case, the elongation will be same. Conclusion Since the weight of the person is same in both cases, there will not be any change for the reading in both the cases while considering the elongation of rope is negligible.