2.25 Problem Sets - Section 5
Problem 5.15: Hinged flat plate swung against wall
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A flat plate is hinged at one side to s
smooth floor, as shown, and held at a small angle qo
(qo<<
1) relative to the floor. The entire system
is submerged in a liquid of constant density r.
At t = 0, a vertical force is applied
and adjusted continually so that the rate of decrease of the plate
angle q remains
constant at a value 
:
Assuming that the flow is incompressible and inviscid, derive expressions for
(a) the horizontal velocity u(x,t) at point x and time t
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(b) the x-direction force FH(t) exerted by the hinge on the floor. Assume the plate has negligible inertia. |
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