Question

A Picture of weight 8N is supported by a string String on a nail find The tension on the strings at A&B if the strings are each inclined at 80° at the vertical

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Answer 1

Answer: 40.62 N (each string)

Explanation:

Assuming that the system is at a constant velocity, acceleration = 0. So, ΣF=ma=0.

The forces acting on the system are the force of gravity and the force of tension from the strings, so:

ΣF = (Force of tension) - (Force of gravity) = 0

Force of tension = Force of gravity

We are looking at the vertical component of the tension force, so the force of tension from each string would equate to Tsin80°.

Since there are 2 strings, we can rewrite:

Force of tension = Force of gravity

2Tsin80° = 80

Solving for T, we get approximately 40.62 N.