Two workers pull horizontally on a heavy box, but one pulls twice as hard as the other. The larger pull is directed at 25.0 ∘ we

Question

2 years ago

8

Two workers pull horizontally on a heavy box, but one pulls twice as hard as the other. The larger pull is directed at 25.0 ∘ we

st of north, and the resultant of these two pulls is 590.0 N directly northward.Use vector components to find the magnitude of each of these pulls. Assume that the smaller pull has a component directed to the north and Use vector components to find the direction of the smaller pull. Assume that the smaller pull has a component directed to the north.

Physics

2 answers:

DiKsa [7] · Answer 1 · 2022-08-23T01:31:06+03:00

<span>The smaller pull is "F" and the larger pull is "2F".
The east-west components of F and 2F cancel.
The north components add to 460 N.
2Fcos25 + FcosΘ = 460
2Fsin25 - FsinΘ = 0
where Θ is measured cw from +y axis (east of north)
In the second equation, F cancels, leaving
2sin25 = sinΘ = 0.845 → Θ = 58º East of North
Using the first equation, then,
2Fcos25 + Fcos58 = 1.813F + 0.534F = 2.347F = 460
F = 196 N
2F = 392 N</span>