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## Main Question or Discussion Point

The situation is there is a ball attached to a string in a car, and the angle that the string makes is measured when the car is accelerating. I'm having a bit of trouble with the proof that a=tan(theta)

so far I've gotten that

weight=mg=Tcos(theta)

a=ma=Tsin(theta)

But what I don't understand is why you need to find the ratio between them and how that shows acceleration.

a/g=sin(theta)/cos(theta)

a=gtan(theta)

another one of my questions is what happens to the g in the equation?

Help is much appreciated thanks!

so far I've gotten that

weight=mg=Tcos(theta)

a=ma=Tsin(theta)

But what I don't understand is why you need to find the ratio between them and how that shows acceleration.

a/g=sin(theta)/cos(theta)

a=gtan(theta)

another one of my questions is what happens to the g in the equation?

Help is much appreciated thanks!