x²î + 3xz?ŷ – 2xzî , | F sin(x)â + cos(y)ŷ + sin(xy) cos(z)2 || ||
Q: imperfectly rough fixed A homogeneous sphere rolls down an sphere, starting from rest at the highest…
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Q: A sphere of massm 6 kg is attached to a central force Fof magnitude (80/) N directed toward O. The…
A: solution; The sphere will traverse a semi-circular path in order to reach the center. The diameter…
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Q: Assume that the answer is between 90 and 270 degrees.What is the arctangent of -8.144?
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Q: L,, Ly] = L,Ly – LyL = ihL, %3D %3D
A: We know, Lx^=y^pz^-z^py^Ly^=z^px^-x^pz^Lz^=x^py^-y^px^
Q: Calculate the parallelogram with sides: A (-6,4-12), and B-(9,-6.18). vetors are parallel The tuo
A: According to question--- Given data-- vector A and B are (-6,+4,-12) and (9,-6,+18) respectively.…
Q: A A T4!= "T7-"T7= "77
A: The angular momentum of x and z component is defined as…
Q: Let a = (5,-1, 2) and 6 = (3, 2, -2). b Find the angle between the vector (in radians)
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Q: Car A is traveling at the constant speed of 44 km/h as it rounds the circular curve of radius r =…
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Q: Examine the following picture. What is the moment arm (in feet) for the red force about the green X?
A: Draw the free-body diagram of the arm.
Q: Steiner’s theorem and gyration radius. A metal tank wheel in the shape of a disc of radius R is…
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Q: A cylinder of mass M and radius 2R (careful!) is at rest on a rough table. A light string runs from…
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Q: (a) Let F₁ = x² 2 and F₂ = x Ŷ + y ŷ + z 2. Calculate the divergence and curl of F₁ and F₂. Which…
A:
Q: y у%3 (х — 2)2 3. 2.
A: Solution:
Calculate the divergence and then the rotor of the following vector fields:


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- Calculate the average angular position () for a particle on a ring for m = 1. O 47? Ο π O 1For vector field v(x, y) = (-xy, y), find all points P such that the amount of fluid flowing in to Pequals the amount of fluid flowing out of P. Select the correct answer below: O At all points P O At all points P, where y s0 O At all points P, where y = 1 O At all points P, where y = xI got Part A really well in finding the torque but I am struggling to find the angle theta in part B.
- A small projectile is fired from point O with an initial velocity u = 500 m/s at the angle of from the horizontal as shown. Neglect atmospheric resistance and any change in g and compute the radius of curvature ρρ of the path of the projectile 30 seconds after the firing.Sketch how water curls down a sink, say, in clock-wise rotation. Draw the resulting vector of the curl-operator applied on this water flow.Show that the directions of the isoline and the gradient line at any given points in a scalar field are orthogonal to each other.