question_answer

A fireman wants to slide down a rope. The breaking load for the rope is \[\frac{3}{4}th\] of the weight of the man. With what acceleration should the fireman slide down? (Acceleration due to gravity is\[g)\]

A) \[\frac{g}{2}\]                                   

B) \[\frac{g}{4}\]

C) \[\frac{3g}{4}\]                                

D) \[zero\]

Correct Answer: B

Solution :

Let the resultant acceleration of fireman be a then                 \[R=mg-ma\] Given,   \[R=\frac{3}{4}mg\] \[\therefore \]  \[\frac{3}{4}mg=mg-ma\]            \[\Rightarrow \]               \[a=\frac{g}{4}\]