Calculate Work of Vector Force in XY Plane

  • Thread starter Thread starter Idividebyzero
  • Start date Start date
  • Tags Tags
    Form Vector Work
AI Thread Summary
To calculate the work done by a vector force in the XY plane, the formula W = FDcos(theta) is used, where theta is the angle between the force and displacement vectors. The displacement vector is given as s = (1.57 m, 3.21 m), and the force vector is F = (5.81 N, 3.93 N). The magnitude of both vectors is determined using the Pythagorean theorem, and the angle is calculated using the inverse tangent function. Initial calculations led to incorrect results due to overlooking the unit vector dot product. Ultimately, recognizing this oversight is crucial for accurately determining the work done.
Idividebyzero
Messages
64
Reaction score
0
1. A particle moving in the xy plane undergoesa displacement ~s = (sxˆı + sy ˆ|), with sx =
1.57 m, sy = 3.21 m, while a constant force F=(Fxˆı+Fyˆ|),withFx=5.81N,Fy=3.93 N, acts on the particle.
Calculate the the work done by vector F.
.




2.W=FDcos(theta)
inverse tangent



3. first found the magnitude of the resultant vector for the displacement via the theorum of pathagoreas. Using the same method i found the magnitude of the force resultant. Used inverse tangent times y over x for the angle. with those values i pluged into W=F*Dcos(theta). answer was incorrect. Okay, thought about it some more, the only work done through the applied force is on the X axis using just the x vectors calculated the work, that is also incorrect.
 
Physics news on Phys.org
never mind i had a brain fart forgot unit vector dot products...lmao
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Back
Top