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 360 N. with what value of minimum safe acceleration (in $m{s}^{-2}$ can a monkey of move down on the rope

• A. 16
• B. 6
• C. 4
• D. 8

Answer 1

The correct option is C 4

If monkey move downward with acceleration a then its apparent weight decreases.
In that condition Tension in string = m(g-a)
This should not be exceed over breaking strength of the rope i.e. $360\ge m(g-a)\Rightarrow 360\ge 60(10-a)\Rightarrow a\ge 4m/s^2$