Question

One of the two rectangular components of a force is 20N and it makes an angle of 30

with the force. Find the magnitude of the other components.​

Answer 1

11.545N

Step-by-step explanation:

The the horizontal and vertical component be expressed as;

Fx = Fxos theta (horizontal compt)

Given Fx = 20N

theta = 30°

Get F:

20 = Fcos30

20 = 0.8660F

F = 20/0.8660

F = 23.09N

Get the magnitude of the other components. (vertical compt)

Fy = Fsin theta

Fy = 23.09sin30

Fy = 23.09(0.5)

Fy = 11.545N

Hence the magnitude of the other component is 11.545N