- #1

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Hi, I have a conceptual question.

I was doing some problems on pendulums and found something that confused me.

I attached a drawing. I used to always solve these problems by using some trigonometry and trying to find the Tension.

i.e. ## m*g = F (of the Tension) * cos(theta) ## so ## \frac {m*g} {cos(theta)} = F ##

But then, if I imagine the string continuing and reason that the Force of the Tension has to also equal the gravitational force in that direction I get

## F = m*g*cos(theta) ## which would make ## m*g*cos(theta) = \frac {m*g} {cos(theta)} ##

Could someone point out where I'm making my thought mistake? Thank you very much!

I was doing some problems on pendulums and found something that confused me.

I attached a drawing. I used to always solve these problems by using some trigonometry and trying to find the Tension.

i.e. ## m*g = F (of the Tension) * cos(theta) ## so ## \frac {m*g} {cos(theta)} = F ##

But then, if I imagine the string continuing and reason that the Force of the Tension has to also equal the gravitational force in that direction I get

## F = m*g*cos(theta) ## which would make ## m*g*cos(theta) = \frac {m*g} {cos(theta)} ##

Could someone point out where I'm making my thought mistake? Thank you very much!