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Question: Answered & Verified by Expert
The resultant of two forces acting at an angle of $120^{\circ}$ is $10 \mathrm{~kg}$-wt and is perpendicular to one of the forces. That force is
PhysicsMathematics in PhysicsKCETKCET 2011
Options:
  • A $10 \sqrt{3} \mathrm{~kg}$-wt
  • B $20 \sqrt{3} \mathrm{~kg}$-wt
  • C $10 \mathrm{~kg}-\mathrm{wt}$
  • D $\frac{10}{\sqrt{3}} \mathrm{~kg}-\mathrm{wt}$
Solution:
1036 Upvotes Verified Answer
The correct answer is: $\frac{10}{\sqrt{3}} \mathrm{~kg}-\mathrm{wt}$



Here,
$$
\begin{gathered}
\tan 30^{\circ}=\frac{1}{\sqrt{3}} \\
\frac{1}{\sqrt{3}}=\frac{x}{10} \\
x=\frac{10}{\sqrt{3}} \mathrm{~kg}-\mathrm{wt}
\end{gathered}
$$

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