If a pushing force making an angle alpha...

If a pushing force making an angle `alpha` with horizontal is applied on a block of mass m placed on horizontal table and angle of friction is `beta`, then minimum magnitude of force required to move the block is

`(mg sin beta)/(cos[alpha-beta])`

`(mg sin beta)/(cos[alpha+beta])`

`(mg sin beta)/(sin[alpha+beta])`

`(mg cos beta)/(cos[alpha-beta])`

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