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## Homework Statement

Please help me do these :

[PLAIN]http://broadcastsol.com/321.JPG [Broken]

Prob1

The mechanical system of massless members is shown in the figure. Determine the relationship between two forces P1 and P2 to keep the system in equilibrium at position as showing in the figure.

Prob2.

Consider the shaded planar area with the y-axis as the axis of symmetry si shown in the figure. Determine the location (x, y) of the centroid and moment of inertia for the area about the x-axis.

**The attempt at a solution**

1)

M(A) = -P

_{1}*L+F

_{BD}*a = 0 -> F

_{BD}= P

_{1}*L/a

DEF is equilibrium :

Ex+P

_{2}=0

Ey+F

_{BD}=0

Ey/Ex = tan(30) = F

_{BD}/P2 = P

_{1}*L / a*P

_{2}

Is this right ?

Many Thanks.

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