A box is placed on an inclined plane and has to be pushed down. The angle of inclination will satisfy which options among the following:

Equal to angle of friction

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More than angle of friction

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Less than the angle of friction

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Greater than angle of repose

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Solution

The correct options are
A Equal to angle of friction
C Greater than angle of repose
D More than angle of friction
$N = m g c o s θ f = μ N A n g l e o f f r i c t i o n = α t a n α = \frac{f}{N} = μ F o r d o w n w a r d m o v e m e n t m g s i n θ \geq μ m g c o s θ t a n θ \geq μ t a n θ \geq t a n α θ \geq α H e n c e o p t i o n A, B a n d D i s c o r r e c t$

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A box is placed on an inclined plane and has to be pushed down. The angle of inclination is

θ

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