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Total Surface Area of a Cuboid

Let F, F N ...

Question

Let $F, F_{N}$ and $f$ denote the magnitudes of the contact force, normal force and the frictional force exerted by one surface on the other kept in contact. If none of these is zero,

F > F_{N}

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F > f

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F_{N} > f

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F_{N} - f < F < F_{N} + f

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Solution

The correct options are
A $F > f$
B $F > F_{N}$
C $F_{N} > f$
D $F_{N} - f < F < F_{N} + f$
$f = μ F_{n} (μ < 1) f < F_{n} F = \sqrt{{F_{n}}^{2} + f^{2}} F^{2} = {F_{n}}^{2} + f^{2} T h e r e f o r e F > F_{n} & F > f {(F_{n} - f)}^{2} = {F_{n}}^{2} + f^{2} - 2 F_{n} f < {F_{n}}^{2} + f^{2} = F^{2} {(F_{n} + f)}^{2} = {F_{n}}^{2} + f^{2} + 2 F_{n} f > {F_{n}}^{2} + f^{2} = F^{2} T h e r e f o r e, {(F_{n} - f)}^{2} < {F^{2} < (F_{n} + f)}^{2} (F_{n} - f) < F < (F_{n} + f)$
All option are currect.

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