https://temml.org/docs/en/administration https://temml.org/docs/en/support_table https://temml.org/ TEMML A TeX-to-MathML conversion library in JavaScript. ---------------------------------------------------------------- h_{C}=\frac{y}{2}

h_{C} = \frac{y}{2}

h_{C} = \frac{y}{2}

h_{C} = \frac{y}{2} [м]

=============================================== h_{C}=\frac{0.2}{2}=0.1 [м]

h_{C} = \frac{0.2}{2} = 0.1 [м]

h_{C} = \frac{0.2}{2} = 0.1 [м]

================================= p_{a}=101325 Па

p_{a} = 101325 П а

=========================== H=20 см

H = 20 с м

================= B=10 мм

B = 10 м м

====================================== \rho = 1000 \frac{кг}{м^3}

ρ = 1000 \frac{к г}{м^{3}}

===================================== P

P

P

======================== \vec{P}

\vec{P}

====================== h_{C}

h_{C}

======================== h_{D_{coord}}

h_{D_{c o o r d}}

=========================== h_{D}

h_{D}

===================== h_{C}=\frac{H}{2}

h_{C} = \frac{H}{2}

==================== p=\rho gh_{C}

p = ρ g h_{C}

======================= w=B\cdot H

w = B \cdot H

======================= P=p\cdot w

P = p \cdot w

========================= I_{0}=\frac{B \cdot H^{3}}{12}

I_{0} = \frac{B \cdot H^{3}}{12}

================================================ h_{D}=h_{C}+\frac{I_{0}}{h_{C}\cdot w}

h_{D} = h_{C} + \frac{I_{0}}{h_{C} \cdot w}

==================================== h_{D_{coord}}=H - h_{C}

h_{D_{c o o r d}} = H - h_{C}

=================================== h_{C}=\frac{H}{2},

h_{C} = \frac{H}{2},

============================= h_{C}=\frac{0.2}{2}=0.1 [м].

h_{C} = \frac{0.2}{2} = 0.1 [м] .

===================== p_{c}=\rho gh_{C},

p_{c} = ρ g h_{C},

============================ p_{c}=1000 \cdot 9.81 \cdot 0.1=490.5 [Па].

p_{c} = 1000 \cdot 9.81 \cdot 0.1 = 490.5 [П а] .

=============================== w=B\cdot H,

w = B \cdot H,

===================================== w=0.1\cdot 0.2=0.02 [м^2].

w = 0.1 \cdot 0.2 = 0.02 [м^{2}] .

========================= P=p_{c}\cdot w,

P = p_{c} \cdot w,

============================ P=490.5\cdot 0.02=19.62 [Н].

P = 490.5 \cdot 0.02 = 19.62 [Н] .

============================= I_{0}=\frac{B \cdot H^{3}}{12}

I_{0} = \frac{B \cdot H^{3}}{12}

======================== I_{0}=\frac{0.1 \cdot0.2^{3}}{12}=6.67^{-5} [м^4].

I_{0} = \frac{0.1 \cdot {0.2}^{3}}{12} = {6.67}^{- 5} [м^{4}] .

============================= h_{D}=h_{C}+\frac{I_{0}}{h_{C}\cdot w},

h_{D} = h_{C} + \frac{I_{0}}{h_{C} \cdot w},

============================ h_{D}=0.1+\frac{6.667^{-5}}{0.1\cdot 0.02}=0.13 [м].

h_{D} = 0.1 + \frac{{6.667}^{- 5}}{0.1 \cdot 0.02} = 0.13 [м] .

================================== h_{D_{coord}}=H-h_{D},

h_{D_{c o o r d}} = H - h_{D},

=================== h_{D_{coord}} = 0.2 - 0.13 = 0.07 [м].

h_{D_{c o o r d}} = 0.2 - 0.13 = 0.07 [м] .

=================================