Question

Two objects, each of weight W, hang vertically by spring scales as shown in the figure. The pulleys and the strings attached to the objects have negligible weight, and there is no appreciable friction in the pulleys. The reading in each scale is

A: more than 2W.
B: less than W.
C: more than W, but not quite twice as much.
D: W.
E: 2W.

Answer 1

The reading on the scale is the tension on the string that connects the two objecst. In order to support the blocks it must pull the weights by a force magnitude of W. So, the tension of the rope is W. Therefore, the reading on the scale is W, D.


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Answer 2

Answer:

D: W.

Explanation:

For an ideal spring connected to weight W

Now here since both sides we have same weight connected  so the system will always remains at rest

So here we have

$W - W = ma$

$a = 0$

so here acceleration will be zero for the given system

now we can find the tension force in the string on each side as

$T - W = ma$

$T = W$

so here tension on string on side will be same and it is equal to W

so the reading will of the scale is W