## Babynini one year ago A man pushes a lawn mower with a force of 34 lb exerted at an angle of 30° to the ground. Find the horizontal and vertical components of the force. (Assume that the horizontal direction is positive and the vertical direction is negative.)

1. Babynini

I got 17sq3i-17j

2. Babynini

but it doesn't want it

3. is3535

Suggest you use geometry. You have a right triangle with the hypothenuse as your force of 32 lbs. The gravity/(vertical component) would be sin 30 degrees x 32. The horizontal component will be cos 30 degrees x 32. =( sqrt of 3) x 16.

4. Babynini

where did you get 32?

5. Babynini

|dw:1433016210638:dw|

6. Babynini

equation of force is F=fcos(theta)i+fsin(theta)j right?

7. DanJS

That is the vector components yea, the i=<1,0> is the X direction, and the j=<0,1> is the y direction component

8. DanJS

calculate each, Magnitude of F times cos(theta) for the x component, and magnitude of F times sin(theta) for the Y component

9. Babynini

So then plugging numbers in we have: 34cos(30)i+34sin(30)j

10. Babynini

simplifies to: 34(sq3/2)i+34(1/2)j

11. Babynini

is that all correct?

12. DanJS

$F _{Tot}=F _{x}i+F _{y}j$

13. DanJS

yes, just calculate Fx and Fy, those are the legs of the triangle, the components of the force

14. Babynini

um then the answer will be: $17\sqrt{3}i+17j$

15. Babynini

Yeah? but they don't accept that answer

16. DanJS

The vertical direction (UP) is said to be negative, so that component will be negative

17. Babynini

oh sorry, right right. I wrote it wrong in here but wrote it correct into the answer box :P they don't like it

18. Babynini

$17\sqrt{3}i-17j$

19. DanJS

yeah, that is the Force written in component form. Not sure how you are supposed to enter the answer though

20. Babynini

hrm..yeah because that should be right and the example is written that way too.

21. Babynini

Previous questions in this homework have also rejected anything that has i or j in it, i'll just ask my prof monday :) thanks!!

22. DanJS

yw