Q121 / 180 · KCET 2025 · Physics

A wooden block of mass M lies on a rough floor. Another wooden block of the same mass is hanging from the point $O$ through strings as shown in the figure. To achieve equilibrium, the co-efficient of static friction between the block on the floor with the floor itself is Figure

  • Correct answer
    A
    $\mu=\cot \theta$
  • B
    $\mu=\sin \theta$
  • C
    $\mu=\tan \theta$
  • D
    $\mu=\cos \theta$

Solution

$\begin{aligned} & \mathrm{T} \sin \theta=\mathrm{Mg} ...(i)\\ & \mathrm{~T} \cos \theta=\mu \mathrm{Mg}...(ii) \end{aligned}$ (ii) - (i) given $\mu=\frac{\cos \theta}{\sin \theta}=\cot \theta$

Hence, the correct answer is option: 'A'.

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