A block rest on a rough inclined plane making an angle $30^{0}$ with the horizontal. The coefficient of static friction between the block and plane is 0.8. If the frictional force on the block is 10N, the mass of block is ( $g = 10 m s^{- 2}$ )

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1.6 kg

4 kg

2 kg

2.5 kg

answer is C.

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Detailed Solution

$i f μ i s 0.8 a n g l e o f i n c l i n a t i o n i s l e s s t h a n a n g l e o f r e p o s e a n d i t i s s t a t i o n a r y f r i c t i o n a l f o r c e i s e q u a l t o a p p l i e d f o r c e = m g \sin θ = 10 m (10) 0.5 = 10 m = 2$

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