Datrys F=-mgsinθ

$$F = - m g \sin \theta$$

Datrys ar gyfer g (complex solution)

$$\left\{\begin{matrix}g=-\frac{F}{m\sin(\theta )}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\text{ and }m\neq 0\\g\in \mathrm{C}\text{, }&\left(m=0\text{ or }\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\right)\text{ and }F=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$\left(-m\right)g\sin(\theta )=F$$

Mae'r hafaliad yn y ffurf safonol.

$$\left(-m\sin(\theta )\right)g=F$$

Rhannu’r ddwy ochr â -m\sin(\theta ).

$$\frac{\left(-m\sin(\theta )\right)g}{-m\sin(\theta )}=\frac{F}{-m\sin(\theta )}$$

Mae rhannu â -m\sin(\theta ) yn dad-wneud lluosi â -m\sin(\theta ).

$$g=\frac{F}{-m\sin(\theta )}$$

Rhannwch F â -m\sin(\theta ).

$$g=-\frac{F}{m\sin(\theta )}$$

Datrys ar gyfer g

$$\left\{\begin{matrix}g=-\frac{F}{m\sin(\theta )}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\text{ and }m\neq 0\\g\in \mathrm{R}\text{, }&\left(m=0\text{ or }\exists n_{1}\in \mathrm{Z}\text{ : }\theta =\pi n_{1}\right)\text{ and }F=0\end{matrix}\right.$$

Camau ar gyfer Datrys Hafaliad Llinol

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

$$\left(-m\right)g\sin(\theta )=F$$

Mae'r hafaliad yn y ffurf safonol.

$$\left(-m\sin(\theta )\right)g=F$$

Rhannu’r ddwy ochr â -m\sin(\theta ).

$$\frac{\left(-m\sin(\theta )\right)g}{-m\sin(\theta )}=\frac{F}{-m\sin(\theta )}$$

Mae rhannu â -m\sin(\theta ) yn dad-wneud lluosi â -m\sin(\theta ).

$$g=\frac{F}{-m\sin(\theta )}$$

Rhannwch F â -m\sin(\theta ).

$$g=-\frac{F}{m\sin(\theta )}$$

Datrys ar gyfer F

$$F=-gm\sin(\theta )$$