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Question

A rough vertical board has an acceleration a so that a 2 kg block pressing against it does not fall. The coefficient of friction between the block and the board is μ. Then,


A
μ>ga
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B
μ<ga
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C
μ<ag
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D
μ>ag
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Solution

The correct option is A μ>ga
The FBD of the block is shown below in the board frame of reference.


From the FBD, we get
N=ma and
f=μN=μma (in limiting case)
If block does not fall, it means
f>mg
μ(ma)>mg
μ>ga

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