With what minimum acceleration can a fireman slide down a rope whose breaking strength is two-thirds of his weight?
Step 1: Assumption
Let the weight of the fireman be mg where g is the acceleration due to gravity and his downward acceleration be a.
The tension (T) will be,
Step 2: Applying Newton's second Law
Applying Newton’s second law of motion on a foreman sliding downwards, The force will be the subtraction of weight and tension of the rope,
Hence, the minimum acceleration will be .