A monkey of mass 40 kg climbs on a rope which can withstand a maximum tension of 600 N In which of the following cases will the rope break : The monkey
(a) climbs up with an acceleration of `6 ms^(-2)`
(b) climbs down with an acceleration of `4 ms^(-2)`
(c) climbs up with a uniform speed of `5 ms^(-1)`
(d) falls down the rope nearly freely under gravity ? (Ignore the mass of the rope.)

Explanation

To determine in which case the rope will break, we need to calculate the tension in the rope for each scenario and compare it with the maximum tension the rope can withstand, which is 600 N. The mass of the monkey is given as 40 kg.

### Step-by-Step Solution

**Given:**
- Mass of the monkey, \( m = 40 \, \text{kg} \)
- Maximum tension in the rope, \( T_{\text{max}} = 600 \, \text{N} \)
- Acceleration due to gravity, \( g = 10 \, \text{m/s}^2 \)
...