Find the work done by the force F = xyi+ly - x) over the straight line...
Find the work done by the force field F(x, y, z) = (x – y, x + z, y + z) in moving a particle along the line segment from (0,0,1) to (2, 1, 0).
Find the work done by the force field F(x, y,2)= <2ay - :, x° +23, 2y-2x > in moving an object from point A(-3,-2,-1) to point B(1,2,3) along the following paths: a line segment followed by the arch of a cycloid, followed by the top half of a parabola, and followed by another line segment at the end. Evaluate for full credit. (9 pts)
Find the work done by a force F = 8i - 6j + 5k that moves an object from the point (0, 8, 8) to the point (4, 16, 24) along a straight line. The distance is measured in meters and the force in newtons. 3
Find the work done by a force F-1-1+ 7k that moves an object from the point (0, 10, 6) to the point (6, 14, 24) along a straight line. The distance is measured in meters and the force in newtons.
rom mechanics we know the work done by a constant force, along a straight line is the DOT PRODUCT between the force and the vector pathengh The NET Force(assumed constant) acting on a mass, Mis The NET fForce movesthe mass from its intial position to the fial postion alongt he vector athlength given by 1. Find the WORK done by the constant force 2 Interupt this resutt physically in terms of speed of the object. Explain Find the UNIT VECTOR...
13. (10 points) (a): Find the line integral of f(x, y, z) = x+y+z over the straight-line segment from (1,2,3) to 0,-1,1). (b): Find the work done by F over the curve in the direction of increasing t, where F=< x2 + y, y2 +1, ze>>, r(t) =< cost, sint,t/27 >, 0<t<27.
8. Find the work done by the force field F(x, y) = 3i + (2y)j on a particle moving along the line segment that runs from (1,3) to (3,9).
с 1. Determine the work done by force F along the path C, that is, compute the line integral F.dr from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = ff.dr =[F(F(t)). 7"(t)dt с с Use F = (-y)ỉ +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that for any...
Problem 1 1. Determine the work done by force F along the path C, that is, compute the line integral Si di from point A to point B. You need to find the parameterization of the curve C and use it to find the line integral: Work = [ Fudi =[F(F(t)."(t)dt Use F = (- y) { +(x)ì in Newtons. and use a = 4 and b = 5 meters in the figure. Parameterization of a straight line: Remember that...
:) IS (x+y+z)ds X-1 (b): Find the work done by F over the curve in the direction of increasing t, where F =< x² + y, y2 + 1, ze >, r(t) =< cost, sint,t/27 >, Osts 27. y-2=2-3 =+ C) -1-2 I-3