Find the tension in string A?
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This is a statics problem which means that the system has zero net accelerationThis more importantly means that the sum of all force vectors and moments is zeroThis is because nothing is moving or turningAs with all problems involving forces, start by drawing and correctly labeling a complete FBD (free body diagram)Treat the point at which string B is attached as point OWe now write the moment equation about O, assuming the positive direction is counterclockwisesigma M_O T_Ad - W1(L/2) - W2x 0 Solve for T_A as that is the only unknown in the moment equationNow that you have T_A, we just need to realize that sigma F_x 0 (no forces or force components in x direction)The remaining equilibrium equation is: sigma F_y T_A - T_B - W1 - W2 0 assuming the positive direction is upNote: Remember to PRESERVE your signs in all calcuations as that will impact what answer you ultimately getI hope this helps.
