A cutting tool under microprocessor control has several forces acting on it. One force is F⃗ =−αxy^2j, a force in the negative y-direction whose magnitude depends on the position of the tool. The constant is α . Consider the displacement of the tool from the origin to the point x= a , y= a . Question A Calculate the work done on the tool by F⃗ if this displacement is along the straight line y=x that connects these two points. W = ? Question B Calculate the work done on the tool by F⃗ F→ if the tool is first moved out along the x-axis to the point x= a, y=0 and then moved parallel to the y-axis to x= a, y= a.
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A cutting tool under microprocessor control has several forces acting on it. One force is F⃗...
A cutting tool under microprocessor control has several forces acting on it. One force is F⃗ =−αxy2j^, a force in the negative y-direction whose magnitude depends on the position of the tool. The constant is α = 2.15 N/m3 . Consider the displacement of the tool from the origin to the point x= 3.80 m , y= 3.80 m . Calculate the work done on the tool by F⃗ if this displacement is along the straight line y=x that connects these...
A force F⃗ of magnitude F making an angle θ with the x axis is
applied to a particle located along axis of rotation A, at
Cartesian coordinates (0,0) in the figure. The vector F⃗ lies in
the xy plane, and the four axes of rotation A, B, C, and D all lie
perpendicular to the xy plane.
A particle is located at a vector position r⃗ r→r_vec with
respect to an axis of rotation (thus r⃗ r→r_vec points from...
A force acting on a particle moving in the x-y plane is given by F=2yi+x^2j N, where x and y are in meters. The particle moves from the origin to a final position having the coordinates x=5 m and y=5 m and shown in the figure above. Calculate the work done by F along (a) OAC, (b) OBC, and (c) OC. (d) Is F a conservative or non-conservative force? Explain?
Four forces are acting on an object in static equilibrium: Force 1 has a magnitude of 46.0 N and is acting at an angle of (45 + A) degrees above the positive x-axis. Force 2 has a magnitude of (15+B) N and is acting along the positive x-axis. Force 3 has a magnitude of 54.5 N and is acting along the negative y-axis. Find the magnitude of the last force, F4. Give your answer in newtons (N) and with 3...
Learning Goal: To understand how to compute thework done by a constant force acting on a particle that moves in astraight line.In this problem, you will calculate the work done by a constantforce. A force is considered constant if is independent of . This is the most frequently encountered situation inelementary Newtonian mechanics.part AConsider a particle moving in a straight linefrom initial point B to final point A, acted upon by a constantforce .The force (think of it as a...
1. Suppose an object is subjected to a force F that varies with position: where β 20N/m is a constant. a) The object begins at the origin (x,y) = (0,0) and travels to point P located at (z,y)-(1m,3m): 3m 4m Calculate the work done by F along each of the three possible paths shown in the figure above by the dashed lines. Note that there could be other forces acting on the object in order to ensure the object travels...
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
A force acting on a particle moving in the xy-plane is given by F = (2x3y4i+x2y3j), where F is in newtons and x and y are in meters. The particle moves from the origin to a final position having coordinates x=5.00 m and y = 5.00 m as shown in the figure. Calculate the work W = F(r) dr done by F on the particle as it moves along a) The purple path b) The red path
1. Define, describe, or draw a diagram to explain the following terms: (a) lines of force; (b) conservative force; (c) electric potential: (d) dielectric; (e) flux. An electron is located at the origin whose q-_ 1.6 x 10-19 coul and whose mass is 9.11 x 10 kg is in an E-field, E -1000 nt/c, parallel to the x-axis. Calculate: (a) the force, F, on the electron; (b) the acceleration of the electron along the x-axis. Calculate the force between the...
Mr. Weinstock ExamI Directions: Answer question ONE and 4 of the remaining 5 problems. Show all work. Partial credit granted 1 Define, describe, or draw a diagram to explain the following terms (a) lines of force; (b) conservative force; (c) electric potential: (d) dielectric; (e) flux. 1. An electron is located at the origin whose q- -1.6 x 1019 Coul and whose mass is 9.11 x 103 kg is in an E-field, E -1000 nt/c, parallel to the x-axis. Calculate:...