Question

help me with this one

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Answer 1

$\Large\underline{\underline{\sf \blue{Given}:}}$

• Weight of pendulum (W) = 1N

• Held at angle $\sf{(\theta)}$

• Horizontal force = 2N

$\Large\underline{\underline{\sf \blue{To\:Find}:}}$

• Tension in string supporting the pendulum bob (T) = ?

$\Large\underline{\underline{\sf \blue{Solution}:}}$

Vertical Component :

$\implies{\sf Tcos\theta=W}$

$\implies{\sf Tcos\theta=1N\:\:→(eq\:1)}$

Horizontal Component :

$\implies{\sf Tsin\theta=F}$

$\implies{\sf Tsin\theta=2N\:\:→(eq\:2)}$

From eq(1) and eq(2) :

$\large{\sf T=\sqrt{W^2+F^2} }$

$\implies{\sf T=\sqrt{1^2+2^2}}$

$\implies{\sf T=\sqrt{1+4}}$

$\implies{\sf T=\sqrt{5} }$

$\Large\underline{\underline{\sf \blue{Answer}:}}$

•°• Tension in string supporting the pendulum bob (T) is √5