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Mechanical Properties of Solids
Question
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A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

  • 25 m/s2

  • 0.25 rad/s2

  • 25 rad/s2

  • 5 m/s2

Answer

C.

25 rad/s2


τ = I α
F × R = MR2α
30 × 0.4 = 3 × (0.4)2 α
12 = 3 × 0.16 α
400 = 16 α
α = 25 rad/s2

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Some More Questions From Mechanical Properties of Solids Chapter

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?