
(c) 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 $i.e$. $360 \geq m(g - a) \Rightarrow 360 \geq 60(10 - a) \Rightarrow a \geq 4\ m/s^{2}$