Why Are the Moments Negative on Fb, Fc, and Fd?

In summary, the forces of moments on Fb, Fc, and Fd can be determined by taking into account the component of torque of the force at a given point. This is calculated by taking the vector product of the vector r and the force. The sign of the moment can be determined by the direction of rotation along the axis, with a positive moment indicating anti-clockwise rotation and a negative moment indicating clockwise rotation.
  • #1
noname1
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This is not really a homework question just a review but i wanted someone to explain to me why the forces of the moments negative on Fb, Fc and Fd

thanks in advanced
 

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  • #2
The component of torque of a force F acting at a point r is equal to the vector product of the vector r and the force.
Mx=y Fz -z Fy,
My=z Fx -x Fz,
Mz=x Fy -y Fx.

You can also decide the sign from the direction of rotation the force would cause along an axis. Seeing from the positive x, y, or z axis, the moment is positive if it rotates anti-clockwise, and negative, if the rotation is clockwise.

ehild
 

FAQ: Why Are the Moments Negative on Fb, Fc, and Fd?

What is a force couple system?

A force couple system is a pair of forces that act on a rigid body, causing a rotation without any translation.

How does a force couple system work?

A force couple system works by exerting equal and opposite forces on a body at different points, creating a torque or turning effect on the body.

What are the properties of a force couple system?

The properties of a force couple system include a magnitude, direction, and point of application for each force, as well as a distance between the two forces.

What are some real-world examples of force couple systems?

Some examples of force couple systems in everyday life include opening a door by pushing on one side while pulling on the other, or using a wrench to loosen a bolt by applying force at two different points.

Why are force couple systems important in physics?

Force couple systems are important in physics because they help us understand how multiple forces acting on a body can result in a rotational motion. They also play a crucial role in structural engineering and biomechanics.

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