15 points Save Are performs when acting along the complete trajectory from point A to point...
and the curve C that is the 9. (i0 points) Consider the fiold F triangle bounded by V = 0,エ-1, and y-z. (a) Use Green's Theorem to find the counterclockwise circulation along C (b) Use Green's Theorem to find the outward flux across C and the curve C that is the 9. (i0 points) Consider the fiold F triangle bounded by V = 0,エ-1, and y-z. (a) Use Green's Theorem to find the counterclockwise circulation along C (b) Use Green's...
3) (11 points) Consider the vector field Use the Fundamental Theorem of lLine Integrals to find the work done by F along any curve from 41. 1Le) to B(2. el) 4) (10 points) Consider the vector field F(x.y)-(r-yi+r+y)j and the circle C: r y-9. Verify Green's Theorem by calculating the outward flux of F across C (12 points) Find the absolute extreme values of the function .-2-4--3 on the closed triangular region in the xy-plane bounded by the lines x...
A student is riding their bike when they come across a turn in the form of a circular arc of radius R 3.0m as pictured in the diagram below and travel along this arc in the clockwise direction. At one point along this trajectory (the origin of the given coordinate system) it makes sense to define the Cartesian coordinate system shown where the x-axis is tangent to the trajectory and the y-axis is perpendicular to it. At this point the...
F(x, y, z)-(y-re)it(cos(2y2)-x)/ 1s the force field acting on a particle moving around the rectangular path from A(0.1) to B(0,3) depicted in Figure 1 Figure 1. Rectangular path of the particle. Compute the work done by the force in this field; Using line integral (if the integral is difficult to evaluate, then use Matlab) b. Also using Green's Theorem without computer aid. Compare your results. a. F(x, y, z)-(y-re)it(cos(2y2)-x)/ 1s the force field acting on a particle moving around the...
Line t from point P is tangent to circle O at T, the point of tangency. Find the length of PT when the radius of the circle is 5cm and that distance between points P and O is 8cm. I 186a Time to The Pythagorean Theorem 2 • mecan 1023 100% -90% -80% -70% Date Name 69 mistakes) 0 Complete the following exercises based on the explanation below. Explanation When a line and a circle have exactly one point in...
The force acting at a point (x, y) in a coordinate plane is F(x, y)- r-xit yj. Calculate the work done by E along the upper half of the circle x2 ya from (a, 0) to (-a, 0). where Irl The force acting at a point (x, y) in a coordinate plane is F(x, y)- r-xit yj. Calculate the work done by E along the upper half of the circle x2 ya from (a, 0) to (-a, 0). where Irl
2-15. Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A, and the component acting along member BC is 500Ib, directed from B towards C.Determine the magnitude of F and its direction . Seto 60°
Consider a point charge q moving arbitrar ily along a trajectory described by vector function of time r (t). The velocity of the charge is thus V(t)- di,(t)/dt. Suppose Q and Q'represent points on the trajectory where the charge is at time t and was at an earlier time t'. Let R(t) F r,(t) be the vector from the charge to the fixed point P as shown in the figure of particle re volume element de r" a) Prove the...
The forces F1, F2 , Fn acting at the same point P are said to be in equilibrium if the resultant force is zero, that is, if Fi + F2 + +Fo-0. F2- (5,-4) F1-(4, 2), (a) Find the resultant ant force acting at P. rces to be in equilibrium. (1f an answer does not exist, enter DNE.) (b) Find the additional force required (if any) for the Need Help? Read It The forces F1, F2 , Fn acting at...
4. Parameterization a) Find the parameterization of the trajectory from A to B. b) Determine the length of the trajectory using L= =jVP.F dt and compare to the distance between the points around the section of the circle. у B С r Radius =r=3m ༽ 0 A x Use t as the angle: F(t)=( sts F'(t)=[ __ L = dt