question_answer

If the coefficient of friction between all surfaces is 0.5, then find the minimum force F to have equilibrium of system. (assume strings and pulleys are massless)    

A) \[\frac{4000}{17}N\]

B) \[\frac{1000}{17}N\,\]

C) \[\frac{2000}{17}N\,\]

D) \[\frac{500}{17}N\,\]

Correct Answer: C

Solution :

[c] \[T=2f+500~~~~\] ....(i) \[8T=5000-f\]   ?(ii) \[f=\frac{1}{2}F\]   ?(iii) From (i), (ii) and (iii) \[F=\frac{2000}{17}N\]