Question
In: Math
A symmetrical 2D plate is bounded by the curve ?=?2 and ? =2−?2. Find the first...
A symmetrical 2D plate is bounded by the curve ?=?2 and ? =2−?2. Find the first moments and the Centroid of the plate.
Make a neat Sketch of the plate; show the element of area with its dimensions; clearly show the arm length for the element of area; write the differentials of the area and the first moment.
Solutions
milcah answered 2 years agoRelated Solutions
A symmetrical 2D plate is bounded by the curves ? = 2?^2 , ? = 6?...
A symmetrical 2D plate is bounded by the curves ? = 2?^2 , ? =
6? • Make a clear sketch of the plate. • Choose the appropriate
element, on the sketch show its dimensions and the arm length for
the element • Write the differentials of the Area • Find the Area
of the plate • Find Moment of Inertia and Radius of Gyration of the
plate with respect to y axis.
Find the center of mass of a thin plate of constant density which is bounded by...
Find the center of mass of a thin plate of constant density
which is bounded by the parabolas y=8x^2−24x and y=3x−x^2.
x¯=
y¯=
Find the volume of the solid obtained by revolving the region bounded above by the curve...
Find the volume of the solid obtained by revolving the region
bounded above by the curve y = f(x) and below by the curve y= g(x)
from x = a to x = b about the x-axis.
f(x) = 3 − x2 and g(x) = 2; a =
−1, b = 1
Show that, in a symmetrical 2D linear harmonic oscillator, the expectation value for total angular momentum...
Show that, in a symmetrical 2D linear harmonic oscillator, the
expectation value for total angular momentum is conserved with
time.
Sketch and find the area of the region bounded by the curves ?=?+? and ?=?2−?.
Sketch and find the area of the region bounded by the curves
?=?+? and ?=?2−?.
Use double integration to find the area in the first quadrant bounded by the curves y...
Use double integration to find the area in the first quadrant
bounded by the curves y = sin x,
y = cos x and the y-axis.
find the area bounded by x^2 − 6x + y = 0 and: a.) x^2 −...
find the area bounded by x^2 − 6x + y = 0 and:
a.) x^2 − 2x – y = 0
b.) y=x
c.) x^2− 2x − y = 0, and the x-axis.
USING ITERATED INTEGRALS
Find the center of mass of the solid bounded by z = 4 - x^2 -...
Find the center of mass of the solid bounded by z = 4 - x^2 -
y^2 and above the square with vertices (1, 1), (1, -1), (-1, -1),
and (-1, 1)
if the density is p = 3.
Find the area of the region bounded by the parabolas x = y^2 - 4 and...
Find the area of the region bounded by the parabolas x = y^2 - 4
and x = 2 - y^2
the answer is 8 sqrt(3)
Sketch the region bounded above the curve of y=(x^2) - 6, below y = x, and...
Sketch the region bounded above the curve of y=(x^2) - 6, below
y = x, and above y = -x. Then express the region's area as on
iterated double integrals and evaluate the integral.
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