- #1

user240

- 5

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## Homework Statement

I'm having trouble understanding an example given in K&K's Intro to Mechanics textbook.

'A string with tension ##T## is deflected through an angle ##\theta_0## by a smooth fixed pulley. What is the force on the pulley'.

I don't understand how (in the first picture) they got the horizontal force from the tension to be ##Tsin(\theta_0)##, unless the angle I've circled in red is somehow ##\theta_0## also. In which case, how would you prove that?

I also don't get how (second picture) they found the force from the string tension to be ##Tsin(\frac{\Delta\theta}{2})##.