Question:

$A \,1 \,N$ pendulum bob is held at an angle $\theta$ from the vertical by a $2\, N$ horizontal force $F$ as shown in the figure. The tension in the string supporting the pendulum bob (in newton) is

Updated On: Sep 1, 2024
  • $\cos \theta$
  • $\frac{2}{\cos \theta}$
  • $\sqrt{5}$
  • 1
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The Correct Option is C

Solution and Explanation

As the bob is in equilibrium under the effect of three forces $-T, F$ and $W$
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Concepts Used:

Tension

A force working along the length of a medium, especially if this force is carried by a flexible medium like cable or rope is called tension.  The flexible cords which bear muscle forces to other parts of the body are called tendons.

Net force = 𝐹𝑛𝑒𝑡 = 𝑇−𝑊=0,

where,

T and W are the magnitudes of the tension and weight and their signs indicate a direction, be up-front positive here.

Read More: Tension Formula