Question

Prove that the diameter of a solid triangle in complex plane the length of it's longest edge. Prove in logically and general case. Not particular case.

Answer #1

How to prove the standard Norm is a Norm in the complex
plane?

Let G be a region in the complex plane. Prove that the set of
functions that are harmonic in G is a vector
space (over R)

(5) The hypotenuse of a right triangle in the Euclidean plane
has length 4 inches. The altitude is drawn to the hypotenuse,
dividing the hypotenuse into two segments, the shorter of which is
1 inch in length. What is the length of the side of the original
right triangle that is adjacent to the smaller segment of the
hypotenuse?

A current carrying wire is in the shape of an equilateral
triangle of edge length 5.0 cm. The triangle lies in the z
= 0 plane. The wire carries a current of 2.6 A.
(a) What is the magnitude of the torque on the wire if it is in
a region with a uniform magnetic field of magnitude 0.32 T that
points in the +z direction?
___ N·m
(b) What is the magnitude of the torque on the wire if...

A current carrying wire is in the shape of an equilateral
triangle of edge length 4 cm. The triangle lies in the z =
0 plane. The wire carries a current of 2.2 A.
1)
What is the magnitude of the torque on the wire if it is in a
region with a uniform magnetic field of magnitude 0.32 T that
points in the +z direction?
N·m
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A solid cylinder of diameter D, length L, and density ρs falls
due to gravity concentrically through a long vertical sleeve of
diameter D0. The clearance is filled with fluid of
density ρ and viscosity µ. a) Find an expression for
the velocity at which the cylinder is travelling. b) Apply your
formula to the case of a steel cylinder (ρ = 7.6g/cm3 ),
D = 2 cm, D0 = 2.04cm, L = 15 cm, with a film of SAE...

A
solid disk of mass 15kg and diameter 60cm is spinning
counterclockwise in the plane of the page. The initial angular
velocity of the disk is 24rad/s. If after 20 seconds the angular
velocity is found to be 12 rad/s, the average torque exerted on the
disk during that time has been
a) 0.405 m•N out of the page
b) 0.405 m•N into the page
c) 0.604 m•N to the right
d) 0.810m•N out of the page
e) 0.810 m•N...

a solid circular steel rod has a length of 70 mm, diameter of 20
mm, and an eccentricity(offset) of 6 mm.Syiely =300Mpa. find the
critical buckling load if its boundary condition are fixed-free(use
theoretical value in table)

A straight rod of solid polymer is of length 1 m and diameter 10
mm. The polymer is linearly viscoelastic with a tensile creep
compliance given by: D = 2- exp(-0.1t); Gpa^-1 Where t is in hours.
The rod is suspended vertically and a mass of 10 kg is hung from it
for 10 hours. Identify the time domain of this property test
procedure.

2.1Consider a solid cylindrical rod of length 0.15 m and
diameter 0.05 m. The top and bottom surfaces of the rod are
maintained at constant temperatures of 20oC and 95oC, respectively,
while the side surface is perfectly insulated. 2.1.1 Draw a diagram
to represent the situation described above. (3) 2.1.2 Determine the
rate of heat transfer through the rod if it is made of copper, k =
380 W/m? oC. (4) 2.1.3 Determine the rate of heat transfer through
the...

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