# Understanding rigid-body equilibrium problem

## Homework Statement:

I don't understand the forces ## F_h## and ##F_v##

## Relevant Equations:

##\sum F_x=0##
##\sum F_y=0##
##\sum \tau =0##
So I have this problem The soultion to the problem gives me this drawing But I don't understand what ##F_h## and ##F_v## is

• Delta2

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Those are the vertical and horizontal components of the reaction force that the pivot exerts over the the metal pole.

• Delta2 and Kolika28
Ohh, that makes sense! Thank you so much!

This can be solved without trigonometry.

haruspex
Homework Helper
Gold Member
This can be solved without trigonometry.
... except to find the height of the nail?

Btw, @Kolika28 , problem setters often choose 37 degrees because it is a close approximation to an angle in a 3,4,5 triangle. Knowing that will make the trig trivial.

• Lnewqban
... except to find the height of the nail?
They don't ask for the height of the nail, and don't give enough information to compute it if they did ask, but I still stand corrected.
Part (a) does not require trig but computing fV, part of the (b) answer requires a bit of trig, which as you point out, can be done in your head due to the choice of angle.

haruspex
You are welcome 