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A maximum of force can be applied on a block, down the incline, that would still not move the block which is placed on a rough inclined plane as shown in the figure. The maximum external force up the inclined plane that does not move the block is . The coefficient of static friction between the block and the plane is
Block does not move upto a maximum applied force of down the inclined plane.
Equation of motion is
....(i)
Similarly, block also does not move upto a maximum applied force of up the plane.
Now, equation of motion is
or, ...(ii)
Solving Eqs. (i) and (ii), we have
and
Hence, dividing
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