Consiser the position-dependent force F = (5 z)i + (2y² + 5)j + (5 æy + 3 æz+5x + 3 2)k, cting on a particle. a. Find the work done, W, by the force as the particle moves from the point (x, y, z) = (0,0,3) to the point (x, y, z) = (2,1,7) along the following paths: i. the path defined by the position vector r = 2 ti +t°j+(3+4t)k, for 0 < t < 1; W = sin (a) f ii. the path defined by the straight line a = 2 y, z = 2 x + 3.
Consiser the position-dependent force F = (5 z)i + (2y² + 5)j + (5 æy + 3 æz+5x + 3 2)k, cting on a particle. a. Find the work done, W, by the force as the particle moves from the point (x, y, z) = (0,0,3) to the point (x, y, z) = (2,1,7) along the following paths: i. the path defined by the position vector r = 2 ti +t°j+(3+4t)k, for 0 < t < 1; W = sin (a) f ii. the path defined by the straight line a = 2 y, z = 2 x + 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consiser the position-dependent force
F = (5 z)i + (2 y² + 5)j+ (5 æy+ 3xz+ 5x + 3z)k,
acting on a particle.
a. Find the work done, W, by the force as the particle moves from the point (x, y, z) = (0,0,3) to the point (x, y, z) = (2, 1, 7) along the following
paths:
i. the path defined by the position vector r =
2 ti +t°j+ (3+4t)k, for 0 < t < 1;
W =
sin (a)
f
Ω
a
ii. the path defined by the straight line x = 2 y, z = 2 x + 3.
W =
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