A solid disk I = MR²) that is 10 cm in diameter has a mass of 4 kg. The force applied at the outer surface required to produce an angular acceleration of 6 rad/s² about an axis through the center of the disk is A) 0.24 kN. B) 0.12 kN. C) 0.30 N. D) 0.60 N. E) 1.2 N.

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Quizplus · Accepted Answer

The moment of inertia for a solid disk is I = (1/2)MR². The torque τ required is τ = Iα, where α is the angular acceleration. τ = (1/2)(4 kg)(0.05 m)²(6 rad/s²) = 0.03 N·m. The force F required is F = τ/r = 0.03 N·m / 0.05 m = 0.60 N.

A Solid Disk I = MR2) That Is 10 Cm

A Solid Disk I = MR²) That Is 10 Cm