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Question: Answered & Verified by Expert
A hollow tilted cylindrical vessel of negligible mass rests on a horizontal plane as known. The diameter of the base is a and the side of the cylinder makes an angle $\theta$ with the horizontal. Water is then slowly poured into the cylinder. The cylinder topples over when the water reaches a certain height $h$, given by.
PhysicsCenter of Mass Momentum and CollisionKVPYKVPY 2015 (SA)
Options:
  • A $h=2 a \tan \theta$
  • B $h=a \tan ^{2} \theta$
  • C $h=a \tan \theta$
  • D $h=\frac{a}{2} \tan \theta$
Solution:
2298 Upvotes Verified Answer
The correct answer is: $h=a \tan \theta$


$\tan \theta=\frac{\frac{\mathrm{h}}{2}}{\mathrm{a} / 2}$
$\mathrm{~h}=\mathrm{a} \tan \theta$

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