One end of a massless rope, which passes over a massless and frictionless pulley $P$ is tied to a hook $C$…

One end of a massless rope, which passes over a massless and frictionless pulley $P$ is tied to a hook $C$ while the other end is free. Maximum tension that the rope can bear is $360 \mathrm{~N}$. With what value of maximum safe acceleration (in $\mathrm{ms}^{-2}$ ) can a man of $60 \mathrm{~kg}$ climb on the rope?
  1. 16
  2. 6
  3. 4
  4. 8

Solution

$\mathrm{T}-60 \mathrm{~g}=60 \mathrm{a} ; \mathrm{T}=3000 \mathrm{~N} ; \quad \therefore \mathrm{a}=4 \mathrm{~ms}^{-2}$

Asked in: JEE Main 2002

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