GATE 2016 CE (CE2) – Question 55
A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of 20 mm diameter having a velocity of 10 m/s strikes the plate at its mid-point, at an angle of 30° with the vertical. Consider g as 9.81 m/s2 and neglect the self-weight of the plate. The force F (expressed in N) required to keep the plate in its vertical position is _________
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Correct answer: 7.4 to 8.0
Explanation
The jet’s normal velocity component is10sin30°=5m/s. With area π·0.02²/4, mass flow is1000A·10, and normal momentum force is1000A·10·5=15.708N. It acts at half the plate height, while F acts at the bottom. Moment balance gives F=15.708/2=**7.854N**.