(a) Calculate the work done from D to O by the force P of Problem 13.82 by...
Question:
(a) Calculate the work done from D to O by the force P of Problem 13.82 by integrating along the diagonal of the cube.
(b) Using the result obtained and the answer to part b of Problem 13.82, verify that the work done by a conservative force around the closed path OABDO is zero.
In PROBLEM 13.82
The potential function associated with a force P in space is known to be V(x, y, z) = -(x2 + y2 + z2)1/2.
(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.
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Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073398242
11th edition
Authors: Ferdinand Beer, E. Russell Johnston Jr., David Mazurek, Phillip Cornwell, Brian Self
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