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With what acceleratin a should the box o...

With what acceleratin a should the box of figure desecend so that the block of mass M exerts a force Mg/4 on the floor of the box?

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The block is at rest wilth respect to the box which is accelerated wilth respect to the ground. Hence, the accelerationof theblock with respect to the ground is a downward.The forces on the block are i. Mg downward (by the earth) and
ii. N upward (by the floor).
the equation of motion of the block is therefore
`Mg-N=Ma`
If N =Mg/4, the above equation gives `a=3g/4.` The block and hence the box should descend with an accelertion `3g/4`.
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