Laws Of Motion Question 338
Question: A block of mass m = 2 kg is placed on a plank of mass $ M=10kg $ which is placed on a smooth horizontal plane. The coefficient of friction between the block and the plank is$ \mu =\frac{1}{3} $ . If a horizontal force F is applied on the plank, then find the maximum value of F for which the block and the plank move together. (Take $ g=10m/s^{2} $ )
Options:
A) 30 N
B) 40 N
C) 120 N
D) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
[a] For no slipping between m and At, $ F\le ( M+w )g/3 $
$ F\le 40N $ For no toppling of m block $ F\le ( M+m )g/4 $
$ F\le 30N $
$ \therefore F _{min}=30N $
