9000150505

The iron support has the shape of the right triangle $ABC$ with the side $AB$ of the length $30\mathrm{cm}$ and the hypotenuse $AC$ of the length $50\mathrm{cm}$ (see the picture). The maximal allowed force $F_1$ on $AB$ is $270\mathrm{N}$. Find the maximal force $G$ allowed at the point $A$. Hint: The load $G$ at the point $A$ can be decomposed to the direction of the hypotenuse and the other side of the triangle as shown in the picture.