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Question

A smaller block of mass 'm' is placed on another block of mass M. When a horizontal force F is applied on the block of mass M as shown in the figure, the smaller block does not slide. If the magnitude of friction between the bigger block and ground is 'f' , determine the magnitude and direction of friction between the two blocks.
401121.JPG

A
FM+m
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B
FfM+m
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C
F+fM+m
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D
Ffm
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Solution

The correct option is B FfM+m
Let a be the combined acceleration of both blocks.

Ffr=(m+M)a

a=Ffr(m+M)

Now, consider FBD from fig. (2);
fb frictional force between the two blocks.

fb=ma

fb=m(Ffr)(m+M)

the direction of friction is shown in fig.


976788_401121_ans_8aa3eee3081046eca447250124743476.png

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