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Questions  

In Figure, coefficient of friction between the block and the floor is 'μ'. Force F that will move the block on the floor with a uniform speed is

a
(μsin⁡θ+cos⁡θ)mg
b
(μsin⁡θ−cos⁡θ)mg
c
μmgcos⁡θ−μsin⁡θ
d
μmgsin⁡θ−μcos⁡θ

detailed solution

Correct option is D

Normal reaction N=mg+Fcos⁡θFor constant speed Fnet=0⇒Fsin⁡θ−μN=0⇒Fsin⁡θ−μ(mg+Fcos⁡θ)=0⇒F=μmgsin⁡θ−μcos⁡θ

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