1.

A body of mass 10 kg is placed on rough surface, pulled by force F making an angle of 30^(@) above the horizontal. If the angle of friction is also 30^(@), then the minimum magnitude of force F required to move the body is equal to( take, g=10 ms^(-2))

Answer»

100 N
`50 sqrt(2)N`
`100sqrt(2)N`
50N

Solution :(d) `mu= tan 30^(@)=(1)/(sqrt(3))(30^(@)`=angle of FRICTION)

`N=mg-F-sin 30^(@)=(100-(F)/(2))`
` implies"" (sqrt(3)F)/(2)=(1)/(sqrt(3))(100-(F)/(2))`
` implies (3F)/(2) =100-(F)/(2) implies F=50N`


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