A 50 kg sign has been hung from two vertical ropes. What is the tension in each rope? (show work)

Tension is 25 N in both ropes.

T1 = 25 N

T2 = 25 N

Explanation:

We are told that the 50 kg sign has been hung from two vertical ropes.

Now, from equilibrium of forces, since the ropes are vertical, the total tension of both ropes must equal the weight of the sign.

Let the tension in both ropes be T1 and T2.

Thus;

T1 + T2 = 50

Now, since the angles are vertical, the angle with the horizontal axis will be 90°.

Resolving along the horizontal axis gives;

T1 cos 90 = T2 cos 90

This means that T1 = T2.

Thus;

Since T1 + T2 = 50, if means that; T1 = T2 = 50/2 = 25 N

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