- #1
wanu
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It's not a problem, it's a proof. The trouble being that I'm not entirely sure what I'm supposed to be proving, which is why I'm getting so confused. Our instructor told us to verify F=ma using the equations that we got from a conical pendulum lab. When further prompted, he said to divide them (which I took to mean finding the tangent) There was also mention of showing the relationship between m (mass), l (length of the string the mass was on), R (the radius of the circle), and P (the period. (In retrospect, that seems to be the most important instruction.)
Although I keep confusing myself, this is what I think I know:
where T refers to the Tension force
T_x =Tsin(theta T) =mv^2/R
T_y= Tcos(theta T)=mg
and from those I got tan(theta)=v^2/Rg=4pi^2R/Pg
And that's where I get stuck, because I'm not entirely sure how to include l in the relationship, and if I do it should have to do with h (the height of the theoretical triangle), right? So if that's true, how do I take that into account and what should I be doing with the tan(theta)?
Any help or guidance would be greatly appreciated-- I really just want to be able to wrap my head around this.
Although I keep confusing myself, this is what I think I know:
where T refers to the Tension force
T_x =Tsin(theta T) =mv^2/R
T_y= Tcos(theta T)=mg
and from those I got tan(theta)=v^2/Rg=4pi^2R/Pg
And that's where I get stuck, because I'm not entirely sure how to include l in the relationship, and if I do it should have to do with h (the height of the theoretical triangle), right? So if that's true, how do I take that into account and what should I be doing with the tan(theta)?
Any help or guidance would be greatly appreciated-- I really just want to be able to wrap my head around this.