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A force of 350 pounds is resolved into component forces. If it makes an angle of 67° with the horizontal, find the larger component. 322 lb 235 lb 137 lb 380 lb

User Tlbrack
by
7.3k points

1 Answer

3 votes

Answer:
322\ lb

Explanation:

Given

The magnitude of the force
F=350\ \text{Pounds}

The force makes an angle of
67^(\circ) with the horizontal

So, the components of the force are


\Rightarrow F\cos 67^(\circ), F\sin 67^(\circ)\\\Rightarrow F\cos 67^(\circ)=350\cos 67^(\circ)\\\quad \quad =136.75\ lb\\\text{Similarly, }\\\Rightarrow F\sin 67^(\circ)=350\sin 67^(\circ)\\=322.17\ lb

The larger among the two is
F\sin 67^(\circ) i.e.
322\ lb

User Khamidulla
by
7.1k points
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