Issolvi 0.25*Fcos50+Fsin(50)=mg(3+9.8)

$$0.25 * F \cos 50 + F \sin ( 50 ) = m g ( 3 + 9.8 )$$

Solvi għal F_0

$$F_{0}=\frac{256000000000000000gm}{18534826910812257}$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

$$0.25 \cdot F 0.6427876096865394 + F 0.766044443118978 = m g {(3 + 9.8)}$$

Immultiplika 0.25 u 0.6427876096865394 biex tikseb 0.16069690242163485.

$$0.16069690242163485F_{0}+F_{0}\times 0.766044443118978=mg\left(3+9.8\right)$$

Ikkombina 0.16069690242163485F_{0} u F_{0}\times 0.766044443118978 biex tikseb 0.92674134554061285F_{0}.

$$0.92674134554061285F_{0}=mg\left(3+9.8\right)$$

Żid 3 u 9.8 biex tikseb 12.8.

$$0.92674134554061285F_{0}=mg\times 12.8$$

L-ekwazzjoni hija f'forma standard.

$$0.92674134554061285F_{0}=\frac{64gm}{5}$$

Iddividi ż-żewġ naħat tal-ekwazzjoni b'0.92674134554061285, li hija l-istess bħal multiplikazzjoni taż-żewġ naħat bir-reċiproku tal-frazzjoni.

$$\frac{0.92674134554061285F_{0}}{0.92674134554061285}=\frac{64gm}{0.92674134554061285\times 5}$$

Meta tiddividi b'0.92674134554061285 titneħħa l-multiplikazzjoni b'0.92674134554061285.

$$F_{0}=\frac{64gm}{0.92674134554061285\times 5}$$

Iddividi \frac{64mg}{5} b'0.92674134554061285 billi timmultiplika \frac{64mg}{5} bir-reċiproku ta' 0.92674134554061285.

$$F_{0}=\frac{256000000000000000gm}{18534826910812257}$$

Solvi għal g

$$\left\{\begin{matrix}g=\frac{18534826910812257F_{0}}{256000000000000000m}\text{, }&m\neq 0\\g\in \mathrm{R}\text{, }&F_{0}=0\text{ and }m=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Evaluate trigonometric functions in the problem

$$0.25 \cdot F 0.6427876096865394 + F 0.766044443118978 = m g {(3 + 9.8)}$$

Immultiplika 0.25 u 0.6427876096865394 biex tikseb 0.16069690242163485.

$$0.16069690242163485F_{0}+F_{0}\times 0.766044443118978=mg\left(3+9.8\right)$$

Ikkombina 0.16069690242163485F_{0} u F_{0}\times 0.766044443118978 biex tikseb 0.92674134554061285F_{0}.

$$0.92674134554061285F_{0}=mg\left(3+9.8\right)$$

Żid 3 u 9.8 biex tikseb 12.8.

$$0.92674134554061285F_{0}=mg\times 12.8$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$mg\times 12.8=0.92674134554061285F_{0}$$

L-ekwazzjoni hija f'forma standard.

$$\frac{64m}{5}g=\frac{18534826910812257F_{0}}{20000000000000000}$$

Iddividi ż-żewġ naħat b'12.8m.

$$\frac{5\times \frac{64m}{5}g}{64m}=\frac{18534826910812257F_{0}}{20000000000000000\times \frac{64m}{5}}$$

Meta tiddividi b'12.8m titneħħa l-multiplikazzjoni b'12.8m.

$$g=\frac{18534826910812257F_{0}}{20000000000000000\times \frac{64m}{5}}$$

Iddividi \frac{18534826910812257F_{0}}{20000000000000000} b'12.8m.

$$g=\frac{18534826910812257F_{0}}{256000000000000000m}$$