Laws Of Motion Question 163
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 $ 60kg $ move down on the rope[AIEEE 2002]
Options:
A) 16
B) 6
C) 4
D) 8
Show Answer
Answer:
Correct Answer: C
Solution:
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) $ therefore$ 360\ge 60(10-a) $
therefore $ a\ge 4\ m/s^{2} $
