Question

Find the horizontal component of a force of 50 N making an angle of 300 with x-axis.

Answer 1

Topic :- Vectors

$\maltese\:\underline{\textsf{\textbf{AnsWer :}}}\:\maltese$

✏ We're given that, a Force (f) of 50 N making an angle 30° with x axis.

✏We need to find the horizontal component of Force (f)

✏The force have two component which is along x axis and y axis.

✏ The component along x axis is known as horizontal component

✏ The component along y axis is known as vertical component

✏ Vertical component = Fᵧ = Fsinθ

✏ Horizontal component = Fₓ = Fcosθ

• [ Also refer the given figure ]

$\tiny\:\dag\: \pink{\underline{\tt \gray{Horizontal \: component \: of \: Force \: (f) :}}}$

$\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \: Force = F \cos(\theta)$

$\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \: Force = 50 \cos( {30}^{ \circ} )$

$\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \:Force=50\times\bigg( { \frac{ \sqrt{3} }{2}} \bigg)$

$\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \:Force=25\times \sqrt{3}$

$\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \:Force=25\times 1.732$

$\footnotesize \longrightarrow\: \underline{ \boxed{\sf Horizontal \: component \: of \:Force=43.3 \: N}}$

Answer 2

Answer:

$\maltese\underline{\textsf{\textbf{AnsWer :}}}\:\maltese✠$

✏ We're given that, a Force (f) of 50 N making an angle 30° with x axis.

✏We need to find the horizontal component of Force (f)

✏The force have two component which is along x axis and y axis.

✏ The component along x axis is known as horizontal component

✏ The component along y axis is known as vertical component

✏ Vertical component = Fᵧ = Fsinθ

✏ Horizontal component = Fₓ = Fcosθ

$\tiny\dag\pink{\underline{\tt \gray{Horizontal \: component \: of \: Force \: (f) :}}}$

$\begin{gathered}\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \: Force = F \cos(\theta) \\ \end{gathered}$

$\begin{gathered}\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \: Force = 50 \cos( {30}^{ \circ} ) \\ \end{gathered}$

$\begin{gathered}\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \:Force=50\times\bigg( { \frac{ \sqrt{3} }{2}} \bigg)\end{gathered}$

$\begin{gathered}\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \:Force=25\times \sqrt{3}\\ \end{gathered}$

$\begin{gathered}\footnotesize \longrightarrow\:\sf Horizontal \: component \: of \:Force=25\times 1.732\\\end{gathered}$

$\footnotesize \longrightarrow\: \underline{ \boxed{\sf Horizontal \: component \: of \:Force=43.3 \: N}}$