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Wind drag problem with a ball hanging on a rope
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[QUOTE="crememars, post: 6811425, member: 729616"] [B]Homework Statement:[/B] 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? [B]Relevant Equations:[/B] the answer is 5.84 N [ATTACH type="full" width="179px"]315675[/ATTACH] 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 ! [/QUOTE]
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Wind drag problem with a ball hanging on a rope
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