My name is Alexander FufaeV and here I write about:
Inclined Plane: Forces Acting on the Body
Important Formula
$$\class{red}{F_{\text H}} ~=~ \frac{h}{ \class{brown}{l} } \, \class{green}{F_{\text g}}$$
$$\class{red}{F_{\text H}} ~=~ \frac{h}{ \class{brown}{l} } \, \class{green}{F_{\text g}}$$
$$\class{green}{F_{\text g}} ~=~ \frac{ \class{brown}{l} }{h} \, \class{red}{F_{\text H}}$$
$$h ~=~ \frac{ \class{red}{F_{\text H}} }{ \class{green}{F_{\text g}} } \, \class{brown}{l}$$
$$\class{brown}{l} ~=~ \frac{ \class{green}{F_{\text g}} }{ \class{red}{F_{\text H}} } \, h$$
What do the formula symbols mean?
Downward force
$$ \class{red}{F_{\text H}} $$ Unit $$ \mathrm{N} $$
Force on a body that acts parallel to the inclined plane and downwards.
Weight
$$ \class{green}{F_{\text g}} $$ Unit $$ \mathrm{N} $$
Weight acts on the body on the inclined plane in the direction towards the ground.
Height
$$ h $$ Unit $$ \mathrm{m} $$
Height of the inclined plane. Measured at the highest point.
Length
$$ \class{brown}{l} $$ Unit $$ \mathrm{m} $$
Length of the inclined plane - that is, the length of the hypotenuse.
A inclined plane is a sloping surface. The highest point on the plane has the height \( h \). The length of the incline is \( \class{brown}{l} \). On this inclined plane, a body is placed under the influence of the gravity force \( \class{green}{F_{\text g}} \) and can slide downward when the downhill force \( \class{red}{F_{\text H}} \) is greater than the static friction force.
$$ \begin{align} \class{red}{F_{\text H}} ~=~ \frac{h}{ \class{brown}{l} } \, \class{green}{F_{\text g}} \end{align} $$
$$ \begin{align} \class{blue}{F_{\text N}} ~=~ \frac{b}{ \class{brown}{l} } \, \class{green}{F_{\text g}} \end{align} $$