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Problem Solving

A body of mas...

Question

A body of mass $2 k g$ slides down with an acceleration of $3 m / s^{2}$ on a rough inclined plane having a slope of $30^{o}$ . The external force required to take the same body up the plane with the same acceleration will be: $(g = 10 m / s^{2})$

4 N

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14 N

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6 N

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20 N

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Solution

The correct option is D $20 N$
Equation of motion when the mass slides down
$M g s i n Θ - f = M a$
$10 - f = 6$
$f = 4 N$

Equation of motion when the block is pushed up
Let the external force be $F$
$F - M g s i n Θ - f = M a$
$F - 10 - 4 = 6$
$F = 20 N$

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