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Are you referring to the 15kNm moment that is applied? You don't multiply that by a distance. (It would give you something with units kNm2.) a force times a perpendicular distance gives a moment, but an applied moment is already a moment. Exactly where it is applied makes no difference, only its magnitude and direction matter.goldfish9776 said:Homework Statement
Why the moment isn't=15* 3Nm? Since we are taking moment about point O...it's 3m away from O
Homework Equations
The Attempt at a Solution
ya , i knew that . But , how can be moment be applied? only force can be applied , right?haruspex said:Are you referring to the 15kNm moment that is applied? You don't multiply that by a distance. (It would give you something with units kNm2.) a force times a perpendicular distance gives a moment, but an applied moment is already a moment. Exactly where it is applied makes no difference, only its magnitude and direction matter.
Are you asking as a practical matter how it is possible to apply a moment as opposed to a force? There does not need to be a way to do that. Consider turning a nut using a spanner. One can think of it as applying a torque, or as applying two equal and opposite forces along parallel but different lines of action. If you are told a moment of some specified magnitude and direction is applied, you do not need to care about how it is applied.goldfish9776 said:ya , i knew that . But , how can be moment be applied? only force can be applied , right?
yes, this will only occur in the exercise , but not in daily life ?haruspex said:Are you asking as a practical matter how it is possible to apply a moment as opposed to a force? There does not need to be a way to do that. Consider turning a nut using a spanner. One can think of it as applying a torque, or as applying two equal and opposite forces along parallel but different lines of action. If you are told a moment of some specified magnitude and direction is applied, you do not need to care about how it is applied.
I cannot think of a way to apply a torque to an object (in an inertial frame) other than by a combination of linear forces.goldfish9776 said:yes, this will only occur in the exercise , but not in daily life ?
A moment about an arbitrary point is a measure of the tendency of a force to cause an object to rotate about a specific point. It takes into account the magnitude of the force, the distance from the point to the line of action of the force, and the angle between the force and the line of action.
The moment about an arbitrary point is calculated by multiplying the magnitude of the force by the perpendicular distance between the point and the line of action of the force, and then multiplying that by the sine of the angle between the force and the line of action. The formula is M = Fd sinθ, where M is the moment, F is the force, d is the distance, and θ is the angle.
The moment about an arbitrary point takes into account the location of the point where the rotation occurs, while the moment about a fixed point is calculated with respect to a specific, fixed point. The moment about a fixed point is usually easier to calculate, but the moment about an arbitrary point is more versatile and can be used to analyze more complex systems.
The direction of the moment about an arbitrary point is determined by the right hand rule. If the fingers of the right hand are curled in the direction of the force, the thumb will point in the direction of the moment. Alternatively, if the force is represented by an arrow, the moment will be perpendicular to the plane containing the arrow and the point.
The moment about an arbitrary point is used in various engineering and physics applications, such as designing structures, analyzing the stability of objects, and understanding the forces acting on a system. It is also used in mechanics and robotics to calculate the torque needed to rotate an object or to control the motion of a robotic arm.