Homework Help

if a force has magnitude 110 and is directed 30 degrees south of east what are its...

user profile pic

saj-94 | Salutatorian

Posted September 23, 2013 at 12:36 PM via web

dislike 1 like

if a force has magnitude 110 and is directed 30 degrees south of east what are its components of the force.

2 Answers | Add Yours

user profile pic

aruv | High School Teacher | Valedictorian

Posted September 23, 2013 at 12:46 PM (Answer #1)

dislike 1 like

A force has magnitude 110 N and is directed 30 degrees south of east . Its components of the forces respctively in East and south directions are .

`F_E=110 cos(30^0) N`

`and`

`F_S=110 cos((90-30)^0)N` 

Thus

`F_E=110(1/2)=55 N`

and

`F_S=110(sqrt(3)/2)=55sqrt(3)N`

user profile pic

steveschoen | College Teacher | (Level 3) Assistant Educator

Posted September 23, 2013 at 2:23 PM (Answer #2)

dislike 1 like
Hi, saj, To find the components, we can draw a right triangle with the given force, like I showed in may attachment. Then, we would find the lengths of each leg, the components of the force. For the horizontal line, that is 110*cos 30 = 110*( sqrt 3 )/2, = 95.26 For the vertical line, that is 110*sin 30 = 110 * 0.5 = 55. Good luck, saj. I hope this helps. Till Then, Steve
Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes