A body of mass 2 kg slides down with an acceleration of 3 m / s 2 on a rough inclined plane having a slope of 3 0 ∘ . The external force required to take the same body up the plane with the same accel

Question

A body of mass 2 kg slides down with an acceleration of 3 m / s 2 on a rough inclined plane having a slope of 3 0 ∘ . The external force required to take the same body up the plane with the same acceleration will be: ( g = 10 m / s 2 )

TestHub · Accepted Answer

Equation of motion when the mass slides down $M g sin θ - f = M a \Rightarrow 10 - f = 6 (M = 2 kg, a = 3 m / s^{2}, θ = 3 0^{\circ} given) ∴ f = 4 N$ { Equation of motion when the block is } pushed up Let the external force required to take the block up the plane with same acceleration be $F$ $F - M g sin θ - f = M a \Rightarrow F - 10 - 4 = 6 F = 20 N$

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