Solution Found!
Do the same as in .2, but for the force F = (y, x) and for
Chapter 4, Problem 4.3(choose chapter or problem)
Do the same as in 4.2, but for the force F = (y, x) and for the three paths joining P and Q shown in Figure 4.24(b) and defined as follows: (a) This path goes straight from P = (1, 0) to the origin and then straight to Q = (0, 1). (b) This is a straight line from P to Q. (Write y as a function of x and rewrite the integral as an integral over x.) (c) This is a quarter-circle centered on the origin. (Write x and y in polar coordinates and rewrite the integral as an integral over 0.)
Questions & Answers
QUESTION:
Do the same as in 4.2, but for the force F = (y, x) and for the three paths joining P and Q shown in Figure 4.24(b) and defined as follows: (a) This path goes straight from P = (1, 0) to the origin and then straight to Q = (0, 1). (b) This is a straight line from P to Q. (Write y as a function of x and rewrite the integral as an integral over x.) (c) This is a quarter-circle centered on the origin. (Write x and y in polar coordinates and rewrite the integral as an integral over 0.)
ANSWER:Step 1 of 6
(a)
Given .
Therefore, and .
The work done is given as,
Here, is the two-dimensional force exerted on the object, is the displacement, is the force in the direction and is the force in the direction.