Answer:
I(x) = 1444×k ×
I(y) = 1444×k ×
I(o) = 3888×k ×
Explanation:
Given data
function = x^2 + y^2 ≤ 36
function = x^2 + y^2 ≤ 6^2
to find out
the moments of inertia Ix, Iy, Io
solution
first we consider the polar coordinate (a,θ)
and polar is directly proportional to a²
so p = k × a²
so that
x = a cosθ
y = a sinθ
dA = adθda
so
I(x) = ∫y²pdA
take limit 0 to 6 for a and o to
for θ
I(x) =
y²p dA
I(x) =
(a sinθ)²(k × a²) adθda
I(x) = k
da ×
(sin²θ)dθ
I(x) = k
da ×
(1-cos2θ)/2 dθ
I(x) = k
×
I(x) = k ×
× (
I(x) = k ×
×
I(x) = 1444×k ×
.....................1
and we can say I(x) = I(y) by the symmetry rule
and here I(o) will be I(x) + I(y) i.e
I(o) = 2 × 1444×k ×
I(o) = 3888×k ×
......................2
Answer;
Row to row
In a periodic table a set of properties repeats from row to row
Explanation;
In a periodic table, a set of properties repeats from row to row. This is called the periodic law. In the periodic table, the rows are called periods and the columns are called groups.
The modern periodic table is organized by increasing atomic number. The atomic mass unit is based on 1/12th the mass of a carbon-12 atom.
The atomic mass of an element is the weighted average of the masses of an element’s isotopes.
Answer:
Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field. In other words, EM waves are composed of oscillating magnetic and electric fields.
Explanation:
Solution:
<span>Starting with </span>g <span>equal to (1/0.6), solve for v.</span>
<span>v = 0.8c = 2.4E8 m/s</span>
Answer:
The product of the mass and the volume is known as momentum.
According to the law of momentum, it is stated that the two or more bodies remain in a constant state unless an external force is applied in an isolated room.
Momentum depends on the following:-
Mass
Velocity
Momentum = MASS \ X \ VOLUMEMomentum=MASS X VOLUME
\begin{gathered}momentum = 3000kgm/s\\\\mass = 2000kg\\\\velocity =\frac{momentum}{mass}\\\\v= \frac{3000}{2000} \\\\v= 1.5m/s\end{gathered}
momentum=3000kgm/s
mass=2000kg
velocity=
mass
momentum
v=
2000
3000
v=1.5m/s