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: $322\ lb$

Step-by-step 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. $322\ lb$