Question

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 $840N$. With what value of maximum safe acceleration (in $m{s}^{-2})$ can a man of $60kg$ climb on the rope?

• A. 16
• B. 6
• C. 4
• D. 8

Answer 1

The correct option is C 4

FBD of the man is


Using Newton's second law,
$T-mg=ma$
For $T=T_{max}$,
$T_{max}-mg=840-600=60a_{max}$
$\therefore a_{max}=4m/s^2$
The correct option is (C)