Question

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

Answer 1

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`