Calculating Force Away From Point of Application

[indianmc]

my question is at particular pont on any object some force has been applied. or it will experience a couple or moentum. how to calculate the force at some distance away from that particular point whare exactly the force has been applied.

 

[Q_Goest]

The concept of "static equilibrium" or "dynamic equilibrium" applies to finding forces and moments in a body. Basically, to find the resultant forces and/or moments at a location far from where they are applied, you add all forces and moments up in the directions they are applied.

For example, a force applied perpendicular to a line that runs from the point of interest to the point where the force intercepts that radial line, creates a moment around that point equal to the length of the perpendicular line times the force. The force also produces a direct force on that point in the same direction and the same magnitude as the force.

Here's a few web sites that goes over some of this stuff.
http://www.uvi.edu/Physics/SCI3xxWeb/Structure/StaticEq.html
http://www.bsu.edu/web/jkshim/bm/kinetics/externalforce/externalforce.htm
http://www.glenbrook.k12.il.us/gbssci/phys/Class/vectors/u3l3c.html

Or just google "static equilibrium" or "dynamic equilibrium"

 

[ravenprp]

To calculate the force at a particular distance away from the point where the force is applied, you can use the formula for torque (also known as moment of force). Torque is the measure of the force's ability to cause rotational motion. The formula for torque is T = F x d, where T is torque, F is the applied force, and d is the distance from the point of application to the pivot point (or axis of rotation).

For example, if a force of 10 N is applied at a distance of 2 meters away from the pivot point, the torque would be calculated as T = 10 N x 2 m = 20 Nm. This means that the force is capable of producing a rotational effect of 20 Nm at the pivot point.

If you want to calculate the force at a specific distance away from the point of application, you can rearrange the formula to solve for F. The formula would then be F = T / d. Using the same example, if we want to find the force at a distance of 1 meter away from the point of application, we would use the formula F = 20 Nm / 1 m = 20 N. This means that at a distance of 1 meter away from the point of application, the force would be 20 N.

In summary, to calculate the force at a specific distance away from the point of application, you can use the formula F = T / d, where F is the force, T is the torque, and d is the distance from the point of application to the pivot point. This formula can be useful in understanding the effects of forces applied to objects and their ability to cause rotational motion.