A solid cylinder of mass 3 kg is rolling on a horizontal surface with… | MHT CET 2023 (13 May, Shift 1)

Q44MHT CET 2023 · 13 MAY · SHIFT 1Medium

Rolling Motion

A solid cylinder of mass $3\text{ kg}$ is rolling on a horizontal surface with velocity $4\text{ m/s}$ . It collides with a horizontal spring whose one end is fixed to rigid support. The force constant of material of spring is $200\text{ N/m}$ . The maximum compression produced in the spring will be (assume collision between cylinder & spring be elastic)

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Answer: (d)

Total KE of rolling solid cylinder: $\frac{3}{4}mv^2 = \frac{3}{4}\times 3 \times 4^2 = 36$ J.
All of it is stored in the spring at maximum compression: $\frac{1}{2}kx^2 = 36$ .
$100x^2 = 36 \Rightarrow x = 0.6$ m.
So the answer is (d).

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Rolling Motion question from MHT CET 2023 (13 May, Shift 1)

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