How Do You Determine the Direction of a Moment in Statics?

AI Thread Summary
To determine the direction of a moment in statics, first establish a positive direction, typically counter-clockwise using the right-hand rule. Calculate the moment by resolving force components into x and y directions, represented as F = a i + b j. The moment is then found by multiplying the distance along the axis by the component of the force that is perpendicular to that axis. For example, if calculating torque at point B, the torque would be +FBy multiplied by the distance along the x-axis. Understanding these principles clarifies how to properly calculate moments in various scenarios.
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How do i know how to calculate it properly ? Like i Know M=Fd but, how can i tell if its positve counterclockwise or negative clockwise. Expecially when you have components.

hibbeler_chapter4.jpg


Something Like this that's broken into compoents how can i calculate the moment ? I am totally confused on how it goes
 
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Let's assume you are talking about Torque, which is force taken through a moment arm.

Take 1 direction to be positive. I use the right hand rule generally - which means counter-clockwise with the Torque arrow pointing up.

Resolve the force arrows with respect to x,y so that you have a representation that looks like

F = a i + b j

Then the point at which a line along and through the force intersects the x or y axis, then the product of the distance along the axis times the component perpendicular to the axis is your Torque.

For instance in your example at B the Torque will be + FBy*B along the x axis.

Alternatively, you can project the line of the Force vector to a line that is perpendicular with the pivot and then just take the product.

A quick search yielded this link that more or less says the same thing.
http://www.physics.uoguelph.ca/tutorials/torque/Q.torque.intro108.html
 
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