A student is cleansing a black board by ...

A student is cleansing a black board by moving a light duster up and down on it as shown . The coefficient of static friction between the duster and the board is `mu_(s)`

The duster will not move no matter how large the force is if
(1) `tan betagtmu_(s)` (2) `tanbetaltmu_(s)`
(3) `tan betagt 1/(mu_(s))` (4)` tan beta lt 1/(mu_(s))`

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