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Grade: 12


Q: As shown in the fig. a small block of mass 'm' is placed on a bigger block of mass 'M'. Friction coefficient between the blocks is mu and the surface between bigger block and surface is frictionless. Find the maximum force which can be applied on smaller box in the horizontal forward direction to prevent the relative motion between the blocks.

11 years ago

Answers : (2)

Pratham Ashish
17 Points


if both boxes move together their acceleration,

   a = F / (m+M)

 for big box , it will move only due to friction force

 it moves with max accel. when the friction will be max.

    a M =  µ. mg  / M                                                        ( max friction =   µ. mg  )

 if both boxes move together ,

 a =  a M

 F / (m+M) = µ. mg  / M     

 F =  (m+M) µ. mg  / M     

 it will be the max force for both the boxes move together


11 years ago
Ramesh V
70 Points

forces on block M and m are

on balancing forces we get,

N2 =mg

N = N2 +Mg



so from above

F = (m+M)a

putting above gives : umg = Ma

so   F=u(M+M)mg / M

where u is coeff. of friction btn teo blocks


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Naga Ramesh
IIT Kgp - 2005 batch

11 years ago
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