A 30 kg rod one meter long is supported by a hinge A hanging from the ceiling. The rod rests on a peg "C" at a point .7 meters along the rod away. A vertical force of 1000 N is applied to the end of the rod. The rod rests at an angle of 30 degress from the vertical.(adsbygoogle = window.adsbygoogle || []).push({});

Find the x and y components of the forces on the rod at the hinge point A and the peg C.

To solve this I set up equilibrium equations.

A(x) + C(x) = 0 (force of hinge in x direction, force of peg in x direction)

A(y) + C(y) -Mg - 1000 = 0

With an axis through the peg and counting counterclockwise as positive:

.7[A(x) sin 60 -A(y) sin 30] + .2(Mg sin 30) - .3(1000 sin 30) = 0

But there are 4 unknowns here and only three equations to solve them. I don't see any way I could get a relation between two of the quantities for the forth equation.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Statics Problem

**Physics Forums | Science Articles, Homework Help, Discussion**