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A body of mass m is placed on a rough inclined plane and angle of inclination is gradually increased from $0^{\circ}$ . The force exerted by the body on the surface

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always equal to mg

always less than mg

equal to mg for some time and then increases

equal to mg for some time and then decreases

answer is C.

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Detailed Solution

$θ < angle of repose$

$\Rightarrow f = m g \sin θ$

$\Rightarrow F_{c} = \sqrt{f^{2} + N^{2}} = m g$

$θ > a n g l e o f r e p o s e$

$F_{c} = \sqrt{({(μ m g \cos θ)}^{2} + {(m g \cos θ)}^{2})}$

$= m g \cos θ \sqrt{μ^{2} + 1^{}}$

So as $θ$ increases F_c decreases

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