Physics
Fluid-Mechanics
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Question

A semi cylindrical block is used as a gate of a water reservoir Radius of the cylinder in R and length of the block is L. The block is pivoted about its axis as shown. d is density of water. Torque offered by water about the axis will be

  1. d g R squared L squared
  2. fraction numerator d g R squared L squared over denominator 2 end fraction
  3. fraction numerator d g R cubed L over denominator 2 end fraction
  4. zero

The correct answer is: zero


    If we consider different elements on the curved surface of the cylinder, hydrostatic force acting one each element passes through the axis. So,torque produced about axis will be zero.

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