How to Calculate Variable Force on a Particle with Varying Coordinates?

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SUMMARY

The discussion focuses on calculating variable force on a particle with varying coordinates using the formula W=-k(y•î + x•ĵ)d. Participants emphasize the necessity of integration due to the force's variability, contrasting it with the constant force formula. Accurate identification of particle coordinates is crucial for determining the value of d. The conversation highlights the importance of understanding how to apply integration in scenarios involving non-constant forces.

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rudransh verma
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Homework Statement
A force ##\vec F=-k(y\hat i+ x\hat j)## where k is constant acts on the particle moving in x-y plane from origin, the particle is taken along the positive x axis to the point (a,0) and parallel to y axis to a point (a,a). The total W by the Force on the particle is
Relevant Equations
W=F.d
##W=-k(y\hat i+ x\hat j)d##. I am not getting the coordinate of particle correctly so that I can find the value of d. Also the force is varying.
 
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Since the force is varying, you'll need to integrate. The formula you gave is for constant force. And the coordinates are given.
 
Doc Al said:
Since the force is varying, you'll need to integrate. The formula you gave is for constant force. And the coordinates are given.
Oh yes! Thanks.
 

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