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A cuboid has dimensions as shown. If the...

A cuboid has dimensions as shown. If the mass of the block is 2 kg, find the minimum and maximum pressure it exerts as the orientation of the body is changed.

Text Solution

Verified by Experts

The weight exerted by the block = mg
`=2 kg x 9.8 m s^(-2)=19.6 N`
For the pressure to be minimum, the weight should act on maximum area and the block should be placed with the largest lateral surface on the bottom side.
`P_("min")=(19.6 N)/(10xx20xx10^(-1))=980 N m^(-2)`
For pressure to be maximum, the area on which the weight of the block acts, should be minimum and the block should be placed with the smallest lateral surface as the bottom side.
`P_("min")=(19.6)/(5xx10xx10^(-4))=3920 N m^(-2)`
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