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Question: A body of mass 10 kg is lying on a rough plane inclined at an angle of 30<sup>o</sup> to the horizon...

A body of mass 10 kg is lying on a rough plane inclined at an angle of 30o to the horizontal and the coefficient of friction is 0.5. The minimum force required to pull the body up the plane is

A

914 N

B

91.4 N

C

9.14 N

D

0.914 N

Answer

91.4 N

Explanation

Solution

F=mg(sinθ+μcosθ)F = mg(\sin\theta + \mu\cos\theta)

=10×9.8(sin30+0.5cos30)=91.4N= 10 \times 9.8(\sin 30 + 0.5\cos 30) = 91.4N