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Physics · LAWS OF MOTION

हिन्दी

A small heavy bob of mass \( m \) is suspended symmetrically in equilibrium by two light strings attached to a flat horizontal ceiling. Each string makes an angle of \( 45^\circ \) with the horizontal ceiling. The tension in each string is:

  1. \( mg \)
  2. \( \frac{mg}{\sqrt{2}} \)
  3. \( \frac{mg}{2} \)
  4. \( \sqrt{2} mg \)

Correct answer · Option 2

\( \frac{mg}{\sqrt{2}} \)

Explanation

Sum of vertical components of tension: \( 2 T \sin 45^\circ = mg \Rightarrow 2 T (\frac{1}{\sqrt{2}}) = mg \Rightarrow \sqrt{2} T = mg \Rightarrow T = \frac{mg}{\sqrt{2}} \).
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