Question

The missile s engine exerts a 260-kN force F.

(a) Express Fin terms of components using the coordinate system shown.

(b) Themass of the missile is 8800 kg. Determine the magnitude of the sumof the forces exerted by the engine and the missile s weight.

Answer 1

a)F=(208 i+156 j) kN

b)F+W=219 kN

Step-by-step explanation:

Solution:

To determine the components of F

F=(260 kN).(
`\frac{4}{\sqrt{4^(2)+3^(2)}}i+\frac{3}{\sqrt{4^(2)+3^(2)}}j`)

=(208 i+156 j) kN

F=(208 i+156 j) kN

b)weight W expressed in component and add into the

Force F.

W=-(8800 kg).(9.81 m/s^2)j

F+W=(208 i+[156-86.3]j) kN

F+W=
`\sqrt{(208kN)^(2)+(-69.7kN)^(2) }`

=219 kN

F+W=219 kN