The figure shows three ropes tied together in a knot. One of your friends pulls

Question

The figure shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force

i)How hard must you pull on the third rope to keep the knot from moving?

F = units of force

ii)In what direction must you pull on the third rope to keep the knot from moving?

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The figure shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force i)How hard must you pull on the third rope to keep the knot from moving? F = units of force ii)In what direction must you pull on the third rope to keep the knot from moving? theta = degree counterclockwise from the left direction

Explanation / Answer

break it down into components
5 sin120 = 4.33 units up
5cos120 = 2.5 units left

sum up the components
this leaves us with .5 units right, and 4.33 up

your force has to counter this. you have to pull 4.33 down and .5 left, for a total force of 4.36 units [ (4.332 + .52) ]

the angle of this is tan-1(4.33/.5) = 83.4 degrees ccw from the left axis

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