Vector Analysis 600321
Review 3
(1) Evaluate the line integral C F dR where F = 3y i + 2x j + 4z k and C is the line
segment from (0, 0, 0) to (1, 1, 2).
Solution: The line segment is given by R = t i
Vector Analysis 600321, Test 2
(1) The motion of a particle in polar coordinates is given by r = 3, = t2 . Find the
velocity v and the acceleration a in terms of ur , u , and use this to determine the
Vector Analysis 600321
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Review 2
The motion of a particle in polar coordinates is given by r = 2 + sin t, = t. Find
the decomposition of the velocity and acceleratio
Name:
Vector Analysis 600321, Test 1
(1) Three masses with weights 1g , 2g , 4g are placed at P1 (2, 2, 0), P2 (1, 2, 3) and
P3 (4, 1, 0), respectively. Where do you have to place a fourth mass with w
Vector Analysis 600321
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Review 1
A rst particle is located at P1 (2, 1, 1) with mass m1 = 3g , a second particle
is located at P2 (0, 3, 0) with mass m2 = 2g , and a third parti
Vector Analysis 600321
Homework 3, due April 30, 2002
1. Evaluate the line integral C F dR, where F = xy i + x2 j and C is the
triangle with vertices (0, 0), (1, 0), (0, 1) taken in the counterclockwi
Vector Analysis 600321
Homework 2, due March 26, 2002
1. A particle moves so that its position (r, ) in polar coordinates is given by r = t2 ,
= t.
Express its velocity v and its acceleration a in te
Vector Analysis 600321
Homework 1, due February 12, 2002
1. A molecule of methane, CH4 , is structured with the four hydrogen atoms at the
vertices A(1, 0, 0), B (0, 1, 0), C (0, 0, 1), D(1, 1, 1) of