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The moment at the hinge is sought:

M=-R1X1+W2X2-W3X3+W4X4 WHERE THE SIGN OF THE MOMENT IS +CCW$$M=-R_1\times X_1+W_2\times X_2-W_3\times X_3+W_4\times X4$$

where the sign of the moment is $+CCW$: P1=REACTION LEFT, P2=WEIGHT LEFT, P3=WEIGHT RIGHT AND P4=REACTION LEFT. X1 THRU X4 ARE THE ABSOLUTE VALUES OF THE DISTANCES FROM THE HINGE

$$\begin{align} P_1&=\text{reaction left}\\ P_2&=\text{weight left}\\ P_3&=\text{weight right}\\ P_4&=\text{reaction left} \end{align}$$

$X_1$ through $X_4$ are the absolute values of the distances from the hinge. MOMENT AT THE HINGE IS THE SUM OF THE MOMENTS ABOUT IT

Moment at the hinge is the sum of the moments about it. BAK20

The moment at the hinge is sought:

M=-R1X1+W2X2-W3X3+W4X4 WHERE THE SIGN OF THE MOMENT IS +CCW: P1=REACTION LEFT, P2=WEIGHT LEFT, P3=WEIGHT RIGHT AND P4=REACTION LEFT. X1 THRU X4 ARE THE ABSOLUTE VALUES OF THE DISTANCES FROM THE HINGE. MOMENT AT THE HINGE IS THE SUM OF THE MOMENTS ABOUT IT. BAK20

The moment at the hinge is sought:

$$M=-R_1\times X_1+W_2\times X_2-W_3\times X_3+W_4\times X4$$

where the sign of the moment is $+CCW$:

$$\begin{align} P_1&=\text{reaction left}\\ P_2&=\text{weight left}\\ P_3&=\text{weight right}\\ P_4&=\text{reaction left} \end{align}$$

$X_1$ through $X_4$ are the absolute values of the distances from the hinge.

Moment at the hinge is the sum of the moments about it.

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peterh
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The moment at the hinge is sought. M=-R1*X1+W2*X2-W3*X3+W4*X4 WHERE THE SIGN OF THE MOMENT IS +CCW: P1=REACTION LEFT, P2=WEIGHT LEFT, P3=WEIGHT RIGHT AND P4=REACTION LEFT.  X1 THRU X4 ARE THE ABSOLUTE VALUES OF THE DISTANCES FROM THE HINGE. MOMENT AT THE HINGE IS THE SUM OF THE MOMENTS ABOUT IT.            BAK20
                                                                                           

The moment at the hinge is sought:

M=-R1X1+W2X2-W3X3+W4X4 WHERE THE SIGN OF THE MOMENT IS +CCW: P1=REACTION LEFT, P2=WEIGHT LEFT, P3=WEIGHT RIGHT AND P4=REACTION LEFT. X1 THRU X4 ARE THE ABSOLUTE VALUES OF THE DISTANCES FROM THE HINGE. MOMENT AT THE HINGE IS THE SUM OF THE MOMENTS ABOUT IT. BAK20

The moment at the hinge is sought. M=-R1*X1+W2*X2-W3*X3+W4*X4 WHERE THE SIGN OF THE MOMENT IS +CCW: P1=REACTION LEFT, P2=WEIGHT LEFT, P3=WEIGHT RIGHT AND P4=REACTION LEFT.  X1 THRU X4 ARE THE ABSOLUTE VALUES OF THE DISTANCES FROM THE HINGE. MOMENT AT THE HINGE IS THE SUM OF THE MOMENTS ABOUT IT.            BAK20
                                                                                           

The moment at the hinge is sought:

M=-R1X1+W2X2-W3X3+W4X4 WHERE THE SIGN OF THE MOMENT IS +CCW: P1=REACTION LEFT, P2=WEIGHT LEFT, P3=WEIGHT RIGHT AND P4=REACTION LEFT. X1 THRU X4 ARE THE ABSOLUTE VALUES OF THE DISTANCES FROM THE HINGE. MOMENT AT THE HINGE IS THE SUM OF THE MOMENTS ABOUT IT. BAK20

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The moment at the hinge is sought. M=-R1*X1+W2*X2-W3*X3+W4*X4 WHERE THE SIGN OF THE MOMENT IS +CCW: P1=REACTION LEFT, P2=WEIGHT LEFT, P3=WEIGHT RIGHT AND P4=REACTION LEFT.  X1 THRU X4 ARE THE ABSOLUTE VALUES OF THE DISTANCES FROM THE HINGE. MOMENT AT THE HINGE IS THE SUM OF THE MOMENTS ABOUT IT.            BAK20