The force acts on the particle P(x, y, z) which moves in space. (a) Using the relations derived…

The force  acts on the particle P(x, y, z) which moves in space. (a) Using the relations derived in Prob. 13.79, prove that F is a conservative force. (b) Determine the potential function V(x, y, z) associated with F.

 

Prob. 13.82, The potential function associated with a force P in space is known to be  (a) Determine the x, y, and z components of P. (b) Calculate the work done by P from O to D by integrating along the path OABD, and show that it is equal to the negative of the change in potential from O to D