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Question

A 20 kg square plate of side 4 m has uniform mass density and is hinged vertically at the midpoint of its side A. The torque about A is . Take g =10 m/s2

  1. 200 N-m
  2. 100 N-m
  3. 400 N-m
  4. 300 N-m


Solution

The correct option is C 400 N-m

Given -
Mass of the plate =20 kg
Side of the plate =4 m
Acceleration due to gravity g = 10 m/s2
The force of gravity can be assumed to act on its centre of mass, which in this case is  geometric centre of the square.
|(τA)|clockwise=MgL2

=20×10×42Nm
400 Nm

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