Hello, can someone help me with this exercise ?
Compute the work done by the force field F(r, θ) = (−4sinθ, 4sinθ) (given inpolar coordinates) in moving a particle along the curve r = e−θfrom (1,0) to the origin.
I'm doing the line integral using the formula of the line integral so Work= ∫c F · ds =∫ab F(c(t)) · c'(t)dt
and I have ∫10 (-4sin(t),4sin(t)) · (-4cos(t),4cos(t)) dt so now when I compute it I get 16 and the result should be 8/5
I would appreciate your help. Thanks in advance.
Compute the work done by the force field F(r, θ) = (−4sinθ, 4sinθ) (given inpolar coordinates) in moving a particle along the curve r = e−θfrom (1,0) to the origin.
I'm doing the line integral using the formula of the line integral so Work= ∫c F · ds =∫ab F(c(t)) · c'(t)dt
and I have ∫10 (-4sin(t),4sin(t)) · (-4cos(t),4cos(t)) dt so now when I compute it I get 16 and the result should be 8/5
I would appreciate your help. Thanks in advance.