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STD 11 - 6. system of particles and rotational motion — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 6. system of particles and rotational motion4 Marks
MCQ
A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its center. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity $\omega_0$. When the tortoise moves along a chord of the platform with a constant velocity (with respect to the platform), the angular velocity of the platform $w (t)$ will vary with time $t$ as
  • A

  • ✓

  • C

  • D

✓

Answer

Correct option: B.

b
The angular momentum $(L)$ of the system is conserved $i.e.$ $L = Iw$ = constant    

When the tortoise walks along a chord, it first moves closer to the centre and then away from the centre.

Hence, $M.I.$ first decreases and then increases. As a result, $\omega $ will first increase and then decrease. Also the change in $\omega $ will be non-linear function of time.

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