Answered: Problem 5.10 Using the expression for V… | bartleby

Related questions

Question

1 д
V = ê1;
hi Oqi
1 д
+ ёз
h2 aq2
hz dq3

Problem 5.10 Using the expression for V given by equation (5.9), obtain
V.V in cylindrical coordinates. Note that the derivatives also act on the unit
vectors, as in going from equation (2.8) to (2.9). Answer: V · V =1 (rV,) +
p ap
av.
az
+

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 15 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

A word on notation:So far we have been expressing vectors and their components as ~v = ~vx + ~vy. This notation isacceptable but you may run into something that looks like this: ~v = 〈vx, vy〉. This notation ismore formal, but accomplishes the same thing. In this new notation, the wolf problem abovewould look like this:Σ ~F = 〈ΣFx, ΣFy〉= 〈F1x + F2x + F3x + F4x, F1y + F2y + F3y + F4y〉In place of all of the Fix and Fiy ’s, you would put the numbers you found in the problem andcalculate the same way.
A block of mass m = 240 kg rests against a spring with a spring constant of k = 550 N/m on an inclined plane which makes an angle of θ degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. (a) Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal to the plane, with out of the plane as positive. Enter an expression for the normal force, FN, that the plane exerts on the block (in the y-direction) in terms of defined quantities and g. (b) Denoting the coefficient of static friction by μs, write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression. (c) Assuming the plane is frictionless, what will the angle of the plane be, in degrees, if the spring is compressed by gravity a distance 0.1 m? (d) Assuming θ = 45 degrees and the…
Find the divergence and curl of each of the following vector functions: 1. S = < xy, 2yz, 3zx > 2. E = < y^2, (2xy+z^2), 2yz >
2.16* A golfer hits his ball with speed v at an angle & above the horizontal ground. Assuming that the angle is fixed and that air resistance can be neglected, what is the minimum speed vä(min) for which the ball will clear a wall of height h, a distance d away? Your solution should get into trouble if the angle is such that tan