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 $



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