Statics Help A Level Mathematics Mechanics

Hi, I'm doing this question to find out what tan theta is. I'm not sure what to do next after taking moments from A

You don't seem to have posted your working showing you taking moments. Can you post that please?

@Rolls_Reus_0wner I just looked at your moments equation again and one of your ($\sin \theta$)s is wrong. Please check your equation again.

That's correct now.

I'm guessing you're stuck from here? Looking at the final result, you'll clearly need to start introducing the $\mu$'s by using the other equations.

$\displaystyle \frac{R_2}{R_1} = \mu_1$ looks like it will be useful...

final working: Took me an hour and half to figire this out...

They're the best kind of questions - you learn so much

Im sure that your ability to tackle these long questions has improved just by doing this one. For these types of questions where they give the final result, always think about the best way to arrive at it, as I showed in posts above.

One thing: how is ??? whts the proof for that?

Sorry I shouldn't just have given you this equation. You wrote

$\displaystyle F_1=R_2$

$\displaystyle F_1=\mu_1 R_1$

and combining these gives

$\displaystyle R_2 = \mu_1 R_1 \Rightarrow \frac{R_2}{R_1} = \mu_1$

There are many different ways to go about the algebra in this question but the basic aim is to eliminate the non-$\mu$ variables in whichever way you choose.