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Q.

A plank of mass 3m is placed on a rough inclined plane and a man of mass m walks down the board. If the co-efficient of friction between the board and inclined plane is μ=0.5 , the minimum acceleration of does not slide is ____
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a

6 ms-2

b

8 ms-2

c

3 ms-2

d

4 ms-2

answer is A.

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Detailed Solution

f1= Question Image
For equilibrium of plank 3mg sin37  =f+f1
Where  umg cos 37 = 0.5 (4 mg cos37) = 2 mg cos37°
 95mg−85mg=f⇒f=mg5=2m
For equillibrium of man mg sin37 + f = ma 
6m + 2m = ma
  a=8ms−2
 

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