The Equilibrium Using Moments Calculator will calculate the minimum (perpendicular) force to be exerted at a point of a massless bar necessary to establish the equilibrium in a system when a turning effect around a fixed point does exist(Take anticlockwise tendency of rotation as positive)
|The perpendicular missing force to establish the equilibrium is N|
|Perpendicular missing force to establish the equilibrium calculation|
|F3 = - d1 × F1 × sinθ1 + d2 × F2 × sinθ2/d3 × sinθ3|
F3 = - × × sin() + × × sin()/d3 × sin()
F3 = - × × + × × /d3 ×
F3 = - /
F3 = -
|Magnitude of the first acting force (F1) N|
|Magnitude of the second acting force (F2) N|
|Angle of the first force to the bar (θ1) °|
|Angle of the second force to the bar (θ2) °|
|Angle of the third force to the bar (θ3) °|
|Distance of the first force from turning point (d1) m|
|Distance of the second force from turning point (d2) m|
|Distance of the third force from turning point (d3) m|
Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each equilibrium using moments calculation, the Equilibrium Using Moments Calculator will automatically calculate the results and update the Physics formula elements with each element of the equilibrium using moments calculation. You can then email or print this equilibrium using moments calculation as required for later use.
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