A block is on horizontal slab which is moving horizontally. If block is not separated from slab then determine angular frequency of oscillation.

Explanation

If block is not separated from slab then restoring force due to SHM should be less than frictional force between slab and block.

`F_("restoring") le F_("friction") rArr ma_("max") le mu mg`
`:. A_("max") le mg rArr m omega^(2)A le m mug`
`omega^(2) le (m mug)/(mA)`
`omega le sqrt((m_(g))/(A))`
`:. le sqrt((mu_(g))/(A))`