- #1

crememars

- 15

- 2

- Homework Statement
- A 1.2 kg ball is hanging from the end of a rope. The rope hangs at an angle of 25 degrees from the vertical when a 15.0m/s horizontal wind is blowing. If the wind’s force on the rope is negligible, what drag force does the wind exert on the ball?

- Relevant Equations
- the answer is 5.84 N

I drew a FBD but I feel like it's wrong because there are too many missing values. I tried this:

Fy = 0

Tcosθ - Fg = 0

Tcosθ = mg

T = (1.2)(9.8) / cos(25)

T = 12.98 N

Fx = ma

Fwind - Tsinθ - Fdrag = ma

Fwind - (12.98)(sin25) - Fdrag = ma

I don't know how to find these missing values. I feel like I'm approaching the situation wrong? I saw one solution solve it like this:

g(tanθ) = a

(9.8)(tan25) = 4.57

Fx = ma

Fx = (1.2)(4.57)

Fx = 5.48 N

but this doesn't make any sense to me.

any help would be appreciated, thank you !